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\frac{7}{25}x=\frac{1}{5}+\frac{6}{5}
Add \frac{6}{5} to both sides.
\frac{7}{25}x=\frac{1+6}{5}
Since \frac{1}{5} and \frac{6}{5} have the same denominator, add them by adding their numerators.
\frac{7}{25}x=\frac{7}{5}
Add 1 and 6 to get 7.
x=\frac{7}{5}\times \frac{25}{7}
Multiply both sides by \frac{25}{7}, the reciprocal of \frac{7}{25}.
x=\frac{7\times 25}{5\times 7}
Multiply \frac{7}{5} times \frac{25}{7} by multiplying numerator times numerator and denominator times denominator.
x=\frac{25}{5}
Cancel out 7 in both numerator and denominator.
x=5
Divide 25 by 5 to get 5.