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\frac{5}{3}x+\frac{1}{2}x+\frac{1}{7}x=37
Combine x and \frac{2}{3}x to get \frac{5}{3}x.
\frac{13}{6}x+\frac{1}{7}x=37
Combine \frac{5}{3}x and \frac{1}{2}x to get \frac{13}{6}x.
\frac{97}{42}x=37
Combine \frac{13}{6}x and \frac{1}{7}x to get \frac{97}{42}x.
x=37\times \frac{42}{97}
Multiply both sides by \frac{42}{97}, the reciprocal of \frac{97}{42}.
x=\frac{37\times 42}{97}
Express 37\times \frac{42}{97} as a single fraction.
x=\frac{1554}{97}
Multiply 37 and 42 to get 1554.