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x=45-\frac{1}{4}x
Divide 180 by 4 to get 45.
x+\frac{1}{4}x=45
Add \frac{1}{4}x to both sides.
\frac{5}{4}x=45
Combine x and \frac{1}{4}x to get \frac{5}{4}x.
x=45\times \frac{4}{5}
Multiply both sides by \frac{4}{5}, the reciprocal of \frac{5}{4}.
x=\frac{45\times 4}{5}
Express 45\times \frac{4}{5} as a single fraction.
x=\frac{180}{5}
Multiply 45 and 4 to get 180.
x=36
Divide 180 by 5 to get 36.