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x-\frac{13}{20}x=70
Reduce the fraction \frac{65}{100} to lowest terms by extracting and canceling out 5.
\frac{7}{20}x=70
Combine x and -\frac{13}{20}x to get \frac{7}{20}x.
x=70\times \frac{20}{7}
Multiply both sides by \frac{20}{7}, the reciprocal of \frac{7}{20}.
x=\frac{70\times 20}{7}
Express 70\times \frac{20}{7} as a single fraction.
x=\frac{1400}{7}
Multiply 70 and 20 to get 1400.
x=200
Divide 1400 by 7 to get 200.