Solve. Give your answer as a fraction of lowest terms. No decimals, please.
13(324+6x)=16(7x+18)+9\displaystyle \frac{{1}}{{3}}{\left({324}+{6}{x}\right)}=\frac{{1}}{{6}}{\left({7}{x}+{18}\right)}+{9}31(324+6x)=61(7x+18)+9
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