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\frac{1}{7}x=\frac{8}{7}+\frac{5}{7}
Add \frac{5}{7} to both sides.
\frac{1}{7}x=\frac{8+5}{7}
Since \frac{8}{7} and \frac{5}{7} have the same denominator, add them by adding their numerators.
\frac{1}{7}x=\frac{13}{7}
Add 8 and 5 to get 13.
x=\frac{13}{7}\times 7
Multiply both sides by 7, the reciprocal of \frac{1}{7}.
x=13
Cancel out 7 and 7.