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\frac{30}{7}x=15
Combine 4x and \frac{2}{7}x to get \frac{30}{7}x.
x=15\times \frac{7}{30}
Multiply both sides by \frac{7}{30}, the reciprocal of \frac{30}{7}.
x=\frac{15\times 7}{30}
Express 15\times \frac{7}{30} as a single fraction.
x=\frac{105}{30}
Multiply 15 and 7 to get 105.
x=\frac{7}{2}
Reduce the fraction \frac{105}{30} to lowest terms by extracting and canceling out 15.