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\frac{1}{2}x+7-\frac{3}{8}x=9
Subtract \frac{3}{8}x from both sides.
\frac{1}{8}x+7=9
Combine \frac{1}{2}x and -\frac{3}{8}x to get \frac{1}{8}x.
\frac{1}{8}x=9-7
Subtract 7 from both sides.
\frac{1}{8}x=2
Subtract 7 from 9 to get 2.
x=2\times 8
Multiply both sides by 8, the reciprocal of \frac{1}{8}.
x=16
Multiply 2 and 8 to get 16.