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\frac{15}{8}x=42
Combine x and \frac{7}{8}x to get \frac{15}{8}x.
x=42\times \frac{8}{15}
Multiply both sides by \frac{8}{15}, the reciprocal of \frac{15}{8}.
x=\frac{42\times 8}{15}
Express 42\times \frac{8}{15} as a single fraction.
x=\frac{336}{15}
Multiply 42 and 8 to get 336.
x=\frac{112}{5}
Reduce the fraction \frac{336}{15} to lowest terms by extracting and canceling out 3.