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x-9=25\times \frac{7}{5}
Multiply both sides by \frac{7}{5}, the reciprocal of \frac{5}{7}.
x-9=\frac{25\times 7}{5}
Express 25\times \frac{7}{5} as a single fraction.
x-9=\frac{175}{5}
Multiply 25 and 7 to get 175.
x-9=35
Divide 175 by 5 to get 35.
x=35+9
Add 9 to both sides.
x=44
Add 35 and 9 to get 44.