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\frac{5}{2}x+25+100=360
Combine \frac{1}{2}x and 2x to get \frac{5}{2}x.
\frac{5}{2}x+125=360
Add 25 and 100 to get 125.
\frac{5}{2}x=360-125
Subtract 125 from both sides.
\frac{5}{2}x=235
Subtract 125 from 360 to get 235.
x=235\times \frac{2}{5}
Multiply both sides by \frac{2}{5}, the reciprocal of \frac{5}{2}.
x=\frac{235\times 2}{5}
Express 235\times \frac{2}{5} as a single fraction.
x=\frac{470}{5}
Multiply 235 and 2 to get 470.
x=94
Divide 470 by 5 to get 94.