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\frac{1}{25}=5x
Reduce the fraction \frac{5}{125} to lowest terms by extracting and canceling out 5.
5x=\frac{1}{25}
Swap sides so that all variable terms are on the left hand side.
x=\frac{\frac{1}{25}}{5}
Divide both sides by 5.
x=\frac{1}{25\times 5}
Express \frac{\frac{1}{25}}{5} as a single fraction.
x=\frac{1}{125}
Multiply 25 and 5 to get 125.