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50x\times \frac{39}{158}=79\times 25
Multiply both sides of the equation by 7900, the least common multiple of 158,100.
\frac{50\times 39}{158}x=79\times 25
Express 50\times \frac{39}{158} as a single fraction.
\frac{1950}{158}x=79\times 25
Multiply 50 and 39 to get 1950.
\frac{975}{79}x=79\times 25
Reduce the fraction \frac{1950}{158} to lowest terms by extracting and canceling out 2.
\frac{975}{79}x=1975
Multiply 79 and 25 to get 1975.
x=1975\times \frac{79}{975}
Multiply both sides by \frac{79}{975}, the reciprocal of \frac{975}{79}.
x=\frac{1975\times 79}{975}
Express 1975\times \frac{79}{975} as a single fraction.
x=\frac{156025}{975}
Multiply 1975 and 79 to get 156025.
x=\frac{6241}{39}
Reduce the fraction \frac{156025}{975} to lowest terms by extracting and canceling out 25.