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25\times 69.77=1272x
Multiply both sides of the equation by 127200, the least common multiple of 5088,100.
1744.25=1272x
Multiply 25 and 69.77 to get 1744.25.
1272x=1744.25
Swap sides so that all variable terms are on the left hand side.
x=\frac{1744.25}{1272}
Divide both sides by 1272.
x=\frac{174425}{127200}
Expand \frac{1744.25}{1272} by multiplying both numerator and the denominator by 100.
x=\frac{6977}{5088}
Reduce the fraction \frac{174425}{127200} to lowest terms by extracting and canceling out 25.