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\frac{22}{25}x=x-72
Reduce the fraction \frac{88}{100} to lowest terms by extracting and canceling out 4.
\frac{22}{25}x-x=-72
Subtract x from both sides.
-\frac{3}{25}x=-72
Combine \frac{22}{25}x and -x to get -\frac{3}{25}x.
x=-72\left(-\frac{25}{3}\right)
Multiply both sides by -\frac{25}{3}, the reciprocal of -\frac{3}{25}.
x=\frac{-72\left(-25\right)}{3}
Express -72\left(-\frac{25}{3}\right) as a single fraction.
x=\frac{1800}{3}
Multiply -72 and -25 to get 1800.
x=600
Divide 1800 by 3 to get 600.