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\frac{7}{6}x=35
Combine x and \frac{1}{6}x to get \frac{7}{6}x.
x=35\times \frac{6}{7}
Multiply both sides by \frac{6}{7}, the reciprocal of \frac{7}{6}.
x=\frac{35\times 6}{7}
Express 35\times \frac{6}{7} as a single fraction.
x=\frac{210}{7}
Multiply 35 and 6 to get 210.
x=30
Divide 210 by 7 to get 30.