Solve for x
x=16
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x=1+\frac{3}{4}x+\frac{1}{8}x+\frac{1}{16}x
Combine \frac{1}{2}x and \frac{1}{4}x to get \frac{3}{4}x.
x=1+\frac{7}{8}x+\frac{1}{16}x
Combine \frac{3}{4}x and \frac{1}{8}x to get \frac{7}{8}x.
x=1+\frac{15}{16}x
Combine \frac{7}{8}x and \frac{1}{16}x to get \frac{15}{16}x.
x-\frac{15}{16}x=1
Subtract \frac{15}{16}x from both sides.
\frac{1}{16}x=1
Combine x and -\frac{15}{16}x to get \frac{1}{16}x.
x=1\times 16
Multiply both sides by 16, the reciprocal of \frac{1}{16}.
x=16
Multiply 1 and 16 to get 16.
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