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    <div style="text-align: center; font-family: 'Times New Roman', Times, serif; font-size: 10pt; font-weight: bold;">UNITED STATES</div>

    <div style="text-align: center; font-family: 'Times New Roman', Times, serif; font-size: 10pt; font-weight: bold;">SECURITIES AND EXCHANGE COMMISSION</div>

    <div style="text-align: center; font-family: 'Times New Roman', Times, serif; font-size: 10pt; font-weight: bold;">Washington, D.C.&#160;&#160; 20549</div>

    <div style="text-align: center; margin-top: 18pt; margin-bottom: 12pt; font-family: 'Times New Roman', Times, serif; font-size: 14pt; font-weight: bold;">FORM <ix:nonNumeric name="dei:DocumentType" id="Fact_b98198a5b1e24e3ea4419a6b2b219acd" contextRef="c20220526to20220526">8-K</ix:nonNumeric></div>

    <div style="text-align: center; font-family: 'Times New Roman', Times, serif; font-size: 12pt; font-weight: bold;">CURRENT REPORT</div>

    <div style="text-align: center; font-family: 'Times New Roman', Times, serif; font-size: 12pt; font-weight: bold;">Pursuant to Section 13 or 15(d) of The Securities Exchange Act of 1934</div>

    <div><br />
    </div>

    <div style="text-align: center; font-family: 'Times New Roman', Times, serif; font-size: 10pt;">Date of Report (Date of earliest event reported)</div>

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    <div style="text-align: center; margin-bottom: 18pt; font-family: 'Times New Roman', Times, serif; font-size: 10pt;">(Exact name of registrant as specified in its charter)</div>

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            <div style="text-align: center; font-family: 'Times New Roman', Times, serif; font-size: 10pt;">(State or other jurisdiction of incorporation)</div>
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    <td style="width: 33.33%; vertical-align: top;">
            <div style="text-align: center; font-family: 'Times New Roman', Times, serif; font-size: 10pt;">(Commission</div>
            <div style="text-align: center; font-family: 'Times New Roman', Times, serif; font-size: 10pt;">File Number)</div>
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    <td colspan="2" style="width: 33.33%; vertical-align: top;">
            <div style="text-align: center; font-family: 'Times New Roman', Times, serif; font-size: 10pt;">(IRS Employer</div>
            <div style="text-align: center; font-family: 'Times New Roman', Times, serif; font-size: 10pt;">Identification No.)</div>
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    <td colspan="3" style="width: 66.92%; vertical-align: top;">
            <div style="text-align: center; font-family: 'Times New Roman', Times, serif; font-size: 10pt;">(Address of principal executive offices)</div>
          </td>

    <td style="width: 33.08%; vertical-align: top;">
            <div style="text-align: center; font-family: 'Times New Roman', Times, serif; font-size: 10pt;">(Zip Code)</div>
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  </tr>


</table>
    <div style="text-align: center; margin-top: 12pt; font-family: 'Times New Roman', Times, serif; font-size: 10pt;">Registrant&#8217;s telephone number, including area code</div>

    <div style="text-align: center; margin-bottom: 12pt; font-family: 'Times New Roman', Times, serif; font-size: 12pt; font-weight: bold;">(<ix:nonNumeric name="dei:CityAreaCode" id="Fact_7d6992e65a2a4c9cab1733cd328f4414" contextRef="c20220526to20220526">972</ix:nonNumeric>)
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    <td style="width: 23.68%; vertical-align: top;">&#160;</td>

    <td style="width: 52.63%; vertical-align: top; border-bottom: #000000 2px solid;">&#160;</td>

    <td style="width: 23.68%; vertical-align: top;">&#160;</td>

  </tr>

  <tr>

    <td style="width: 23.68%; vertical-align: top;">&#160;</td>

    <td style="width: 52.63%; vertical-align: top;">
            <div style="text-align: center; font-family: 'Times New Roman', Times, serif; font-size: 10pt;">(Former name or former address, if changed since last report.)</div>
          </td>

    <td style="width: 23.68%; vertical-align: top;">&#160;</td>

  </tr>


</table>
    <div style="text-align: justify; margin-top: 18pt; margin-bottom: 12pt; font-family: 'Times New Roman', Times, serif; font-size: 10pt;">Check the appropriate box below if the Form 8-K filing is intended to simultaneously satisfy the filing obligation
      of the registrant under any of the following provisions (see General Instruction A.2):</div>

    <table cellspacing="0" cellpadding="0" style="font-family: 'Times New Roman', Times, serif; font-size: 10pt; width: 100%; text-align: left; color: #000000;">


  <tr>

    <td style="width: 6.77%; vertical-align: top;">
            <div style="text-align: center; font-family: 'Times New Roman', Times, serif; font-size: 14pt;"><ix:nonNumeric name="dei:WrittenCommunications" id="Fact_291324e5b5ec4686863a6f7c16e99f78" contextRef="c20220526to20220526" format="ixt-sec:boolballotbox">&#x2610;</ix:nonNumeric><br />
            </div>
          </td>

    <td style="width: 93.23%; vertical-align: middle;">
            <div style="text-align: justify; font-family: 'Times New Roman', Times, serif; font-size: 10pt;">Written communications pursuant to Rule 425 under the Securities Act (17 CFR 230.425)</div>
          </td>

  </tr>

  <tr>

    <td style="width: 6.77%; vertical-align: top;">&#160;</td>

    <td style="width: 93.23%; vertical-align: middle;">&#160;</td>

  </tr>

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    <td style="width: 6.77%; vertical-align: top;">
            <div style="text-align: center; font-family: 'Times New Roman', Times, serif; font-size: 14pt;"><ix:nonNumeric name="dei:SolicitingMaterial" id="Fact_8bd924d86aa049ff965bf64dca3a0194" contextRef="c20220526to20220526" format="ixt-sec:boolballotbox">&#x2610;</ix:nonNumeric><br />
            </div>
          </td>

    <td style="width: 93.23%; vertical-align: middle;">
            <div style="text-align: justify; font-family: 'Times New Roman', Times, serif; font-size: 10pt;">Soliciting material pursuant to Rule 14a-12 under the Exchange Act (17 CFR 240.14a-12)</div>
          </td>

  </tr>

  <tr>

    <td style="width: 6.77%; vertical-align: top;">&#160;</td>

    <td style="width: 93.23%; vertical-align: middle;">&#160;</td>

  </tr>

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    <td style="width: 6.77%; vertical-align: top;">
            <div style="text-align: center; font-family: 'Times New Roman', Times, serif; font-size: 14pt;"><ix:nonNumeric name="dei:PreCommencementTenderOffer" id="Fact_eff23077d97941b5bb177c1ef2849564" contextRef="c20220526to20220526" format="ixt-sec:boolballotbox">&#x2610;</ix:nonNumeric><br />
            </div>
          </td>

    <td style="width: 93.23%; vertical-align: middle;">
            <div style="text-align: justify; font-family: 'Times New Roman', Times, serif; font-size: 10pt;">Pre-commencement communications pursuant to Rule 14d-2(b) under the Exchange Act (17 CFR 240.14d-2(b))</div>
          </td>

  </tr>

  <tr>

    <td style="width: 6.77%; vertical-align: top;">&#160;</td>

    <td style="width: 93.23%; vertical-align: middle;">&#160;</td>

  </tr>

  <tr>

    <td style="width: 6.77%; vertical-align: top;">
            <div style="text-align: center; font-family: 'Times New Roman', Times, serif; font-size: 14pt;"><ix:nonNumeric name="dei:PreCommencementIssuerTenderOffer" id="Fact_cfc7a350d7cf4b27bf9c96adc615d1d4" contextRef="c20220526to20220526" format="ixt-sec:boolballotbox">&#x2610;</ix:nonNumeric><br />
            </div>
          </td>

    <td style="width: 93.23%; vertical-align: middle;">
            <div style="text-align: justify; font-family: 'Times New Roman', Times, serif; font-size: 10pt;">Pre-commencement communications pursuant to Rule 13e-4(c) under the Exchange Act (17 CFR 240.13e-4(c))</div>
          </td>

  </tr>


</table>
    <div style="text-align: justify; margin-top: 12pt; font-family: 'Times New Roman', Times, serif; font-size: 10pt;">Securities registered pursuant to Section 12(b) of the Act:</div>

    <div><br />
    </div>

    <table cellspacing="0" cellpadding="0" style="font-family: 'Times New Roman', Times, serif; font-size: 10pt; width: 100%; text-align: left; color: #000000;">


  <tr>

    <td style="width: 38%; vertical-align: bottom; border-bottom: #000000 2px solid;">
            <div style="text-align: center; font-family: 'Times New Roman', Times, serif; font-size: 8pt; font-weight: bold;">Title of each class</div>
          </td>

    <td style="width: 1%; vertical-align: bottom;">&#160;</td>

    <td style="width: 15.01%; vertical-align: bottom; border-bottom: #000000 2px solid;">
            <div style="text-align: center; font-family: 'Times New Roman', Times, serif; font-size: 8pt; font-weight: bold;">Trading</div>
            <div style="text-align: center; font-family: 'Times New Roman', Times, serif; font-size: 8pt; font-weight: bold;">Symbol(s)</div>
          </td>

    <td style="width: 1%; vertical-align: bottom;">&#160;</td>

    <td style="width: 45.01%; vertical-align: bottom; border-bottom: #000000 2px solid;">
            <div style="text-align: center; font-family: 'Times New Roman', Times, serif; font-size: 8pt; font-weight: bold;">Name of each exchange on which registered</div>
          </td>

  </tr>

  <tr>

    <td style="width: 38%; vertical-align: top;">
            <div style="text-align: center; font-family: 'Times New Roman', Times, serif; font-size: 8pt;"><ix:nonNumeric name="dei:Security12bTitle" id="Fact_9ecc2031dd5a4923bf91048d9e0c1da2" contextRef="c20220526to20220526">Common stock</ix:nonNumeric><br />
            </div>
          </td>

    <td style="width: 1%; vertical-align: bottom;">&#160;</td>

    <td style="width: 15.01%; vertical-align: bottom;">
            <div style="text-align: center; font-family: 'Times New Roman', Times, serif; font-size: 8pt;"><ix:nonNumeric name="dei:TradingSymbol" id="Fact_37c7d13c6bee44dab6279ab77ac468b7" contextRef="c20220526to20220526">VHI</ix:nonNumeric><br />
            </div>
          </td>

    <td style="width: 1%; vertical-align: bottom;">&#160;</td>

    <td style="width: 45.01%; vertical-align: bottom;">
            <div style="text-align: center; font-family: 'Times New Roman', Times, serif; font-size: 8pt;"><ix:nonNumeric name="dei:SecurityExchangeName" id="Fact_2a4af4662d09464ebbd380d373714d19" contextRef="c20220526to20220526">NYSE</ix:nonNumeric><br />
            </div>
          </td>

  </tr>


</table>
    <div>
      <div><br />
      </div>

      <div style="text-align: left; font-family: 'Times New Roman', Times, serif; font-size: 10pt;">Indicate by check mark whether the registrant is an emerging growth company as defined in Rule 405 of the Securities Act of 1933 (17&#160;CFR &#167;230.405) or Rule
        12b-2 of the Securities Exchange Act of 1934 (17 CFR &#167;240.12b-2).</div>

    </div>

    <div>
      <div><br />
      </div>

      <div style="text-align: right; margin-top: 6pt; font-family: 'Times New Roman', Times, serif; font-size: 10pt;">Emerging growth company&#160; <ix:nonNumeric name="dei:EntityEmergingGrowthCompany" id="Fact_696f7962549e4f0f98dd5cd4a4e69677" contextRef="c20220526to20220526" format="ixt-sec:boolballotbox">&#x2610;</ix:nonNumeric></div>

    </div>

    <div>
      <div><br />
      </div>

      <div style="text-align: left; margin-top: 6pt; font-family: 'Times New Roman', Times, serif; font-size: 10pt;">If an emerging growth company, indicate by check mark if the registrant has elected not to use the extended transition period for complying
        with any new or revised financial accounting standards provided pursuant to Section&#160;13(a) of the Exchange Act.&#160;&#160;<span style="font-size: 10pt; font-family: 'Times New Roman', Times, serif;">&#9744;</span></div>

    </div>

    <div><br />
    </div>

    <div style="clear: both; margin-top: 10pt; margin-bottom: 10pt;" class="DSPFPageBreakArea">
      <div style="page-break-after:always;" class="DSPFPageBreak">
        <hr style="margin: 4px 0px; width: 100%; border-width: 0; height: 2px; color: #000000; background-color: #000000; clear: both;" /></div>

    </div>

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  <tr>

    <td style="width: 108pt; vertical-align: top; align: right; font-family: 'Times New Roman', Times, serif; font-size: 12pt; font-weight: bold;">Item 5.02</td>

    <td style="width: auto; vertical-align: top; text-align: justify;">
            <div style="font-family: 'Times New Roman', Times, serif; font-size: 12pt; font-weight: bold;">Departure of Directors or Certain Officers; Election of Directors; Appointment of Certain Officers; Compensatory Arrangements of Certain Officers.</div>
          </td>

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</table>
    <div><br />
    </div>

    <div style="text-align: justify; text-indent: 36pt; font-family: 'Times New Roman', Times, serif; font-size: 12pt;">Effective May 26, 2022, the registrant&#8217;s board of directors elected Michael S. Simmons as the registrant&#8217;s president. Mr. Simmons was
      formerly the registrant&#8217;s senior vice president, finance. Robert D. Graham was formerly the registrant&#8217;s president, and Mr. Graham continues to serve as the registrant&#8217;s vice chairman of the board and chief executive officer.</div>

    <div><br />
    </div>

    <div style="text-align: justify; text-indent: 36pt; font-family: 'Times New Roman', Times, serif; font-size: 12pt;">Also effective May 26, 2022, the registrant&#8217;s board of directors increased the size of the board from six to eight and elected Kevin B.
      Kramer and Michael S. Simmons to fill the newly created vacancies, with each to serve as a director until his successor is elected and qualified or his earlier resignation, removal or death.&#160;&#160;The board of directors also appointed Mr. Kramer to serve
      on its audit committee.&#160;</div>

    <div><br />
    </div>

    <div style="text-align: justify; text-indent: 36pt; font-family: 'Times New Roman', Times, serif; font-size: 12pt;">Kevin B. Kramer, age 62,&#160; has served as senior vice president, chief commercial and marketing officer for Allegheny Technologies,
      Incorporated, a publicly traded global manufacturer of specialty materials and components supplying the aerospace, defense, energy, medical, consumer electronics and automotive industries, since 2014.&#160; Prior to joining Allegheny Technologies, Mr.
      Kramer worked for Stoneridge, Inc. where he was president&#8212;Stoneridge wiring division and vice president from 2012 to 2014.&#160; Earlier experience includes serving as&#160; president&#8212;growth initiatives and president&#8212;wheel and transportation products for
      Alcoa, Inc. from 2004 to 2012 and serving in various roles for Goodyear Tire and Rubber Company from 1983 to 2004.</div>

    <div><br />
    </div>

    <div style="text-align: justify; text-indent: 36pt; font-family: 'Times New Roman', Times, serif; font-size: 12pt;">Michael S. Simmons, age 50, has served as the registrant&#8217;s president since May 26, 2022.&#160; He previously served as the registrant&#8217;s
      senior vice president, finance from 2021 to May 2022 and as the registrant&#8217;s vice president and chief accounting officer from 2019 to 2021.&#160; He currently serves as executive vice president of the registrant&#8217;s affiliates CompX International Inc. and
      NL Industries, Inc., as executive vice president, finance of the registrant&#8217;s affiliate Kronos Worldwide, Inc., and as senior vice president, finance of Contran Corporation, the parent corporation of the registrant&#8217;s consolidated tax group
      (&#8220;Contran&#8221;). Mr. Simmons has served in various accounting and financial positions (including officer positions) in various companies related to the registrant and Contran since 2018.&#160; From 1994 to 2018, Mr. Simmons was employed by
      PricewaterhouseCoopers LLP, the registrant&#8217;s independent registered public accounting firm, most recently as a managing director.</div>

    <div><br />
    </div>

    <div style="text-align: justify; text-indent: 36pt; font-family: 'Times New Roman', Times, serif; font-size: 12pt;">Mr. Simmons is an employee of Contran and provides his services to the registrant under an intercorporate services agreement between the
      registrant and Contran.&#160; For a description of the intercorporate services agreement, see &#8220;Certain Relationships and Transactions&#8221; in the registrant&#8217;s 2022 proxy statement, which description is incorporated herein by reference.&#160; In addition, for a
      discussion of potential conflicts of interest of officers who serve more than one corporation, see &#8220;Certain Relationships and Transactions&#8221; in the 2022 proxy statement, which discussion is also incorporated herein by reference.</div>

    <div><br />
    </div>

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    <td style="width: 108pt; vertical-align: top; align: right; font-family: 'Times New Roman', Times, serif; font-size: 12pt; font-weight: bold;">Item 5.07</td>

    <td style="width: auto; vertical-align: top; text-align: justify;">
            <div style="font-family: 'Times New Roman', Times, serif; font-size: 12pt; font-weight: bold;">Submission of Matters to a Vote of Security Holders.</div>
          </td>

  </tr>


</table>
    <div><br />
    </div>

    <div style="text-align: justify; text-indent: 36pt; font-family: 'Times New Roman', Times, serif; font-size: 12pt;">The registrant held its 2022 annual meeting of stockholders on May 26, 2022.&#160; At the 2022 annual meeting, the registrant&#8217;s stockholders
      voted on the two proposals described in detail in the registrant&#8217;s definitive proxy statement on Schedule 14A filed with the U.S. Securities and Exchange Commission on April 6, 2022.&#160; Stockholders present at the 2022 annual meeting, either in person
      or by proxy, represented 94.8% of the 28,277,093 shares eligible to vote at the meeting.</div>

    <div><br />
    </div>

    <div style="text-align: justify;"><span style="font-size: 12pt; font-family: 'Times New Roman', Times, serif; font-variant: small-caps;">Proposal 1:</span><span style="display: inline-block; text-indent: 0px; font-size: 1px; width: 144pt">&#160;</span><span style="font-size: 12pt; font-family: 'Times New Roman', Times, serif; font-variant: small-caps;"> Election of Directors</span></div>

    <div><br />
    </div>

    <div style="text-align: justify; text-indent: 36pt; font-family: 'Times New Roman', Times, serif; font-size: 12pt;">The registrant&#8217;s stockholders elected Thomas E. Barry, Loretta J. Feehan, Robert D. Graham, Terri L. Herrington, W. Hayden McIlroy and
      Mary A. Tidlund as directors.&#160; Each director nominee received votes &#8220;For&#8221; his or her election from at least 93.3% of the shares eligible to
      vote at the annual meeting.</div>

    <div><br />
    </div>

    <table cellspacing="0" cellpadding="0" style="font-family: 'Times New Roman', Times, serif; font-size: 10pt; width: 100%; text-align: left; color: #000000;" class="DSPFListTable">


  <tr>

    <td style="width: 144pt; vertical-align: top; align: right; font-family: 'Times New Roman', Times, serif; font-size: 12pt; font-variant: small-caps;">Proposal 2:</td>

    <td style="width: auto; vertical-align: top; text-align: justify;">
            <div style="font-family: 'Times New Roman', Times, serif; font-size: 12pt; font-variant: small-caps;">Say-on-Pay, Nonbinding Advisory Vote Approving Executive Compensation</div>
          </td>

  </tr>


</table>
    <div><br />
    </div>

    <div style="text-align: justify; text-indent: 36pt; font-family: 'Times New Roman', Times, serif; font-size: 12pt;">The registrant&#8217;s stockholders adopted a resolution, on a nonbinding advisory basis, approving <span style="font-size: 12pt; font-family: 'Times New Roman', Times, serif;">the compensation of the registrant&#8217;s named executive officers as described in the registrant&#8217;s 2022 proxy statement.&#160; The resolution received the approval from 92.7% of the shares eligible to vote at the annual meeting.</span></div>

    <div><br />
    </div>

    <table cellspacing="0" cellpadding="0" style="font-family: 'Times New Roman', Times, serif; font-size: 10pt; width: 100%; text-align: left; color: #000000;" class="DSPFListTable">


  <tr>

    <td style="width: 108pt; vertical-align: top; align: right; font-family: 'Times New Roman', Times, serif; font-size: 12pt; font-weight: bold;">Item 7.01</td>

    <td style="width: auto; vertical-align: top; text-align: justify;">
            <div style="font-family: 'Times New Roman', Times, serif; font-size: 12pt; font-weight: bold;">Regulation FD Disclosure.</div>
          </td>

  </tr>


</table>
    <div><br />
    </div>

    <div style="text-align: justify; text-indent: 36pt; font-family: 'Times New Roman', Times, serif; font-size: 12pt;">The registrant hereby furnishes the information set forth in its press release issued on May 26, 2022, a copy of which is attached as
      Exhibit 99.1 and incorporated herein by reference.&#160; The information the registrant furnishes in this report under this Item 7.01, and the exhibit in Item 9.01, is not deemed &#8220;filed&#8221; for purposes of section 18 of the Securities Exchange Act of 1934,
      as amended, or otherwise subject to the liabilities of that section.&#160; Registration statements or other documents filed with the U.S. Securities and Exchange Commission shall not incorporate this information by reference, except as otherwise expressly
      stated in such filing.</div>

    <div><br />
    </div>

    <table cellspacing="0" cellpadding="0" style="font-family: 'Times New Roman', Times, serif; font-size: 10pt; width: 100%; text-align: left; color: #000000;" class="DSPFListTable">


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    <td style="width: 108pt; vertical-align: top; align: right; font-family: 'Times New Roman', Times, serif; font-size: 12pt; font-weight: bold;">Item 9.01</td>

    <td style="width: auto; vertical-align: top; text-align: justify;">
            <div style="font-family: 'Times New Roman', Times, serif; font-size: 12pt; font-weight: bold;">Financial Statements and Exhibits.</div>
          </td>

  </tr>


</table>
    <div><br />
    </div>

    <table cellspacing="0" cellpadding="0" style="font-family: 'Times New Roman', Times, serif; font-size: 10pt; width: 100%; text-align: left; color: #000000;">


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    <td style="width: 5.94%; vertical-align: top;">
            <div style="text-align: justify; font-family: 'Times New Roman', Times, serif; font-size: 12pt;">(d)</div>
          </td>

    <td style="width: 19.88%; vertical-align: top;">
            <div style="text-align: justify; font-family: 'Times New Roman', Times, serif; font-size: 12pt;">Exhibits</div>
          </td>

    <td style="width: 2.86%; vertical-align: top;">&#160;</td>

    <td style="width: 71.31%; vertical-align: top;">&#160;</td>

  </tr>

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    <td style="width: 5.94%; vertical-align: top;">&#160;</td>

    <td style="width: 19.88%; vertical-align: top;">&#160;</td>

    <td style="width: 2.86%; vertical-align: top;">&#160;</td>

    <td style="width: 71.31%; vertical-align: top;">&#160;</td>

  </tr>

  <tr>

    <td style="width: 5.94%; vertical-align: top;">&#160;</td>

    <td style="width: 19.88%; vertical-align: top; border-bottom: 2px solid #000000;">
            <div>
              <div style="text-align: center; font-family: 'Times New Roman', Times, serif; font-size: 12pt; font-weight: bold;">Item No.</div>
            </div>
          </td>

    <td style="width: 2.86%; vertical-align: top;">&#160;</td>

    <td style="width: 71.31%; vertical-align: top; border-bottom: 2px solid #000000;">
            <div>
              <div style="text-align: center; font-family: 'Times New Roman', Times, serif; font-size: 12pt; font-weight: bold;">Exhibit Index</div>
            </div>
          </td>

  </tr>

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    <td style="width: 5.94%; vertical-align: top;">&#160;</td>

    <td style="width: 19.88%; vertical-align: top;">&#160;</td>

    <td style="width: 2.86%; vertical-align: top;">&#160;</td>

    <td style="width: 71.31%; vertical-align: top;">&#160;</td>

  </tr>

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    <td style="width: 5.94%; vertical-align: top;">&#160;</td>

    <td style="width: 19.88%; vertical-align: top;">
            <div style="text-align: center; font-family: 'Times New Roman', Times, serif; font-size: 12pt;">99.1</div>
          </td>

    <td style="width: 2.86%; vertical-align: top;">&#160;</td>

    <td style="width: 71.31%; vertical-align: top;">
            <div style="text-align: justify; font-family: 'Times New Roman', Times, serif; font-size: 12pt;"><a href="exh991.htm">Press release dated May 26, 2022 issued by
                the registrant</a>.</div>
          </td>

  </tr>

  <tr>

    <td style="width: 5.94%; vertical-align: top;">&#160;</td>

    <td style="width: 19.88%; vertical-align: top;">
            <div style="text-align: center; font-family: 'Times New Roman', Times, serif; font-size: 12pt;">104</div>
          </td>

    <td style="width: 2.86%; vertical-align: top;">&#160;</td>

    <td style="width: 71.31%; vertical-align: top;">
            <div style="text-align: justify; font-family: 'Times New Roman', Times, serif; font-size: 12pt;">Cover Page Interactive Data File (embedded within the Inline XBRL document)</div>
          </td>

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    <div><br />
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    </div>

    <div style="clear: both; margin-top: 10pt; margin-bottom: 10pt;" class="DSPFPageBreakArea">
      <div style="page-break-after:always;" class="DSPFPageBreak">
        <hr style="margin: 4px 0px; width: 100%; border-width: 0; height: 2px; color: #000000; background-color: #000000; clear: both;" /></div>

    </div>

    <div style="text-align: center; font-family: 'Times New Roman', Times, serif; font-size: 12pt; font-weight: bold;">SIGNATURE</div>

    <div><br />
    </div>

    <div><br />
    </div>

    <div style="text-align: justify; text-indent: 36pt; font-family: 'Times New Roman', Times, serif; font-size: 12pt;">Pursuant to the requirements of the Securities Exchange Act of 1934, the registrant has duly caused this report to be signed on its
      behalf by the undersigned hereunto duly authorized.</div>

    <div><br />
    </div>

    <table cellspacing="0" cellpadding="0" style="font-family: 'Times New Roman', Times, serif; font-size: 10pt; width: 100%; text-align: left; color: #000000;">


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    <td style="width: 1.13%; vertical-align: top;">&#160;</td>

    <td style="width: 48.67%; vertical-align: top;">&#160;</td>

    <td colspan="2" style="width: 49.07%; vertical-align: top;">
            <div style="text-align: justify; font-family: 'Times New Roman', Times, serif; font-size: 12pt; font-variant: small-caps; font-weight: bold;">Valhi, Inc.</div>
          </td>

    <td style="width: 1.13%; vertical-align: top;">&#160;</td>

  </tr>

  <tr>

    <td style="width: 1.13%; vertical-align: top;">&#160;</td>

    <td style="width: 48.67%; vertical-align: top;">&#160;</td>

    <td colspan="2" style="width: 49.07%; vertical-align: top;">
            <div style="text-align: justify; font-family: 'Times New Roman', Times, serif; font-size: 12pt;">(Registrant)</div>
          </td>

    <td style="width: 1.13%; vertical-align: top;">&#160;</td>

  </tr>

  <tr>

    <td style="width: 1.13%; vertical-align: top;">&#160;</td>

    <td style="width: 48.67%; vertical-align: top;">&#160;</td>

    <td colspan="2" style="width: 49.07%; vertical-align: top;">&#160;</td>

    <td style="width: 1.13%; vertical-align: top;">&#160;</td>

  </tr>

  <tr>

    <td style="width: 1.13%; vertical-align: top;">&#160;</td>

    <td style="width: 48.67%; vertical-align: top;">&#160;</td>

    <td colspan="2" style="width: 49.07%; vertical-align: top;">&#160;</td>

    <td style="width: 1.13%; vertical-align: top;">&#160;</td>

  </tr>

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    <td colspan="3" style="width: 50%; vertical-align: top;">&#160;</td>

    <td colspan="2" style="width: 50%; vertical-align: top;">&#160;</td>

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    <td colspan="2" style="width: 50%; vertical-align: top;">&#160;</td>

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    <td colspan="3" style="width: 50%; vertical-align: top;">&#160;</td>

    <td colspan="2" style="width: 50%; vertical-align: top; border-bottom: 2px solid black;">
            <div style="text-align: justify;"><span style="font-size: 12pt; font-family: 'Times New Roman', Times, serif;">By:/s/ Jane Grimm</span><span style="display: inline-block; text-indent: 0px; font-size: 1px; width: 228.6pt">&#160;</span></div>
          </td>

  </tr>

  <tr>

    <td colspan="3" style="width: 50%; vertical-align: top;">
            <div style="text-align: justify; font-family: 'Times New Roman', Times, serif; font-size: 12pt;">Date:&#160; May 26, 2022</div>
          </td>

    <td colspan="2" style="width: 50%; vertical-align: top;">
            <div style="text-align: justify; margin-left: 26.1pt; font-family: 'Times New Roman', Times, serif; font-size: 12pt; font-style: italic;">Jane Grimm,</div>
            <div style="text-align: justify; margin-left: 26.1pt; font-family: 'Times New Roman', Times, serif; font-size: 12pt; font-style: italic;">Vice President and Secretary</div>
          </td>

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UNITED STATES
SECURITIES AND EXCHANGE COMMISSION
Washington, D.C.   20549
FORM
8-K
CURRENT REPORT
Pursuant to Section 13 or 15(d) of The Securities Exchange Act of 1934
Date of Report (Date of earliest event reported)
May 26, 2022
Valhi, Inc.
(Exact name of registrant as specified in its charter)
Delaware
1-5467
87-0110150
(State or other jurisdiction of incorporation)
(Commission
File Number)
(IRS Employer
Identification No.)
5430 LBJ Freeway
,
Suite 1700
,
Dallas
,
Texas
75240-2620
(Address of principal executive offices)
(Zip Code)
Registrant's telephone number, including area code
(
972
)
233-1700
(Former name or former address, if changed since last report.)
Check the appropriate box below if the Form 8-K filing is intended to simultaneously satisfy the filing obligation
      of the registrant under any of the following provisions (see General Instruction A.2):
☐
Written communications pursuant to Rule 425 under the Securities Act (17 CFR 230.425)
☐
Soliciting material pursuant to Rule 14a-12 under the Exchange Act (17 CFR 240.14a-12)
☐
Pre-commencement communications pursuant to Rule 14d-2(b) under the Exchange Act (17 CFR 240.14d-2(b))
☐
Pre-commencement communications pursuant to Rule 13e-4(c) under the Exchange Act (17 CFR 240.13e-4(c))
Securities registered pursuant to Section 12(b) of the Act:
Title of each class
Trading
Symbol(s)
Name of each exchange on which registered
Common stock
VHI
NYSE
Indicate by check mark whether the registrant is an emerging growth company as defined in Rule 405 of the Securities Act of 1933 (17 CFR §230.405) or Rule
        12b-2 of the Securities Exchange Act of 1934 (17 CFR §240.12b-2).
Emerging growth company
☐
If an emerging growth company, indicate by check mark if the registrant has elected not to use the extended transition period for complying
        with any new or revised financial accounting standards provided pursuant to Section 13(a) of the Exchange Act.
☐
Item 5.02
Departure of Directors or Certain Officers; Election of Directors; Appointment of Certain Officers; Compensatory Arrangements of Certain Officers.
Effective May 26, 2022, the registrant's board of directors elected Michael S. Simmons as the registrant's president. Mr. Simmons was
      formerly the registrant's senior vice president, finance. Robert D. Graham was formerly the registrant's president, and Mr. Graham continues to serve as the registrant's vice chairman of the board and chief executive officer.
Also effective May 26, 2022, the registrant's board of directors increased the size of the board from six to eight and elected Kevin B.
      Kramer and Michael S. Simmons to fill the newly created vacancies, with each to serve as a director until his successor is elected and qualified or his earlier resignation, removal or death.  The board of directors also appointed Mr. Kramer to serve
      on its audit committee.
Kevin B. Kramer, age 62,  has served as senior vice president, chief commercial and marketing officer for Allegheny Technologies,
      Incorporated, a publicly traded global manufacturer of specialty materials and components supplying the aerospace, defense, energy, medical, consumer electronics and automotive industries, since 2014.  Prior to joining Allegheny Technologies, Mr.
      Kramer worked for Stoneridge, Inc. where he was president—Stoneridge wiring division and vice president from 2012 to 2014.  Earlier experience includes serving as  president—growth initiatives and president—wheel and transportation products for
      Alcoa, Inc. from 2004 to 2012 and serving in various roles for Goodyear Tire and Rubber Company from 1983 to 2004.
Michael S. Simmons, age 50, has served as the registrant's president since May 26, 2022.  He previously served as the registrant's
      senior vice president, finance from 2021 to May 2022 and as the registrant's vice president and chief accounting officer from 2019 to 2021.  He currently serves as executive vice president of the registrant's affiliates CompX International Inc. and
      NL Industries, Inc., as executive vice president, finance of the registrant's affiliate Kronos Worldwide, Inc., and as senior vice president, finance of Contran Corporation, the parent corporation of the registrant's consolidated tax group
      ("Contran"). Mr. Simmons has served in various accounting and financial positions (including officer positions) in various companies related to the registrant and Contran since 2018.  From 1994 to 2018, Mr. Simmons was employed by
      PricewaterhouseCoopers LLP, the registrant's independent registered public accounting firm, most recently as a managing director.
Mr. Simmons is an employee of Contran and provides his services to the registrant under an intercorporate services agreement between the
      registrant and Contran.  For a description of the intercorporate services agreement, see "Certain Relationships and Transactions" in the registrant's 2022 proxy statement, which description is incorporated herein by reference.  In addition, for a
      discussion of potential conflicts of interest of officers who serve more than one corporation, see "Certain Relationships and Transactions" in the 2022 proxy statement, which discussion is also incorporated herein by reference.
Item 5.07
Submission of Matters to a Vote of Security Holders.
The registrant held its 2022 annual meeting of stockholders on May 26, 2022.  At the 2022 annual meeting, the registrant's stockholders
      voted on the two proposals described in detail in the registrant's definitive proxy statement on Schedule 14A filed with the U.S. Securities and Exchange Commission on April 6, 2022.  Stockholders present at the 2022 annual meeting, either in person
      or by proxy, represented 94.8% of the 28,277,093 shares eligible to vote at the meeting.
Proposal 1:
Election of Directors
The registrant's stockholders elected Thomas E. Barry, Loretta J. Feehan, Robert D. Graham, Terri L. Herrington, W. Hayden McIlroy and
      Mary A. Tidlund as directors.  Each director nominee received votes "For" his or her election from at least 93.3% of the shares eligible to
      vote at the annual meeting.
Proposal 2:
Say-on-Pay, Nonbinding Advisory Vote Approving Executive Compensation
The registrant's stockholders adopted a resolution, on a nonbinding advisory basis, approving
the compensation of the registrant's named executive officers as described in the registrant's 2022 proxy statement.  The resolution received the approval from 92.7% of the shares eligible to vote at the annual meeting.
Item 7.01
Regulation FD Disclosure.
The registrant hereby furnishes the information set forth in its press release issued on May 26, 2022, a copy of which is attached as
      Exhibit 99.1 and incorporated herein by reference.  The information the registrant furnishes in this report under this Item 7.01, and the exhibit in Item 9.01, is not deemed "filed" for purposes of section 18 of the Securities Exchange Act of 1934,
      as amended, or otherwise subject to the liabilities of that section.  Registration statements or other documents filed with the U.S. Securities and Exchange Commission shall not incorporate this information by reference, except as otherwise expressly
      stated in such filing.
Item 9.01
Financial Statements and Exhibits.
(d)
Exhibits
Item No.
Exhibit Index
99.1
Press release dated May 26, 2022 issued by
                the registrant
.
104
Cover Page Interactive Data File (embedded within the Inline XBRL document)
SIGNATURE
Pursuant to the requirements of the Securities Exchange Act of 1934, the registrant has duly caused this report to be signed on its
      behalf by the undersigned hereunto duly authorized.
Valhi, Inc.
(Registrant)
By:/s/ Jane Grimm
Date:  May 26, 2022
Jane Grimm,
Vice President and Secretary