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\frac{1}{5}x=\frac{21}{2}+\frac{1}{2}
Add \frac{1}{2} to both sides.
\frac{1}{5}x=\frac{21+1}{2}
Since \frac{21}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.
\frac{1}{5}x=\frac{22}{2}
Add 21 and 1 to get 22.
\frac{1}{5}x=11
Divide 22 by 2 to get 11.
x=11\times 5
Multiply both sides by 5, the reciprocal of \frac{1}{5}.
x=55
Multiply 11 and 5 to get 55.