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x-\frac{13}{25}x=36
Reduce the fraction \frac{52}{100} to lowest terms by extracting and canceling out 4.
\frac{12}{25}x=36
Combine x and -\frac{13}{25}x to get \frac{12}{25}x.
x=36\times \frac{25}{12}
Multiply both sides by \frac{25}{12}, the reciprocal of \frac{12}{25}.
x=\frac{36\times 25}{12}
Express 36\times \frac{25}{12} as a single fraction.
x=\frac{900}{12}
Multiply 36 and 25 to get 900.
x=75
Divide 900 by 12 to get 75.