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x=\frac{24}{25}\times \frac{10}{7}
Multiply both sides by \frac{10}{7}, the reciprocal of \frac{7}{10}.
x=\frac{24\times 10}{25\times 7}
Multiply \frac{24}{25} times \frac{10}{7} by multiplying numerator times numerator and denominator times denominator.
x=\frac{240}{175}
Do the multiplications in the fraction \frac{24\times 10}{25\times 7}.
x=\frac{48}{35}
Reduce the fraction \frac{240}{175} to lowest terms by extracting and canceling out 5.