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\frac{7}{15}x=35
Combine x and -\frac{8}{15}x to get \frac{7}{15}x.
x=35\times \frac{15}{7}
Multiply both sides by \frac{15}{7}, the reciprocal of \frac{7}{15}.
x=\frac{35\times 15}{7}
Express 35\times \frac{15}{7} as a single fraction.
x=\frac{525}{7}
Multiply 35 and 15 to get 525.
x=75
Divide 525 by 7 to get 75.