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-100x+\frac{225}{2}x=150
Add \frac{225}{2}x to both sides.
\frac{25}{2}x=150
Combine -100x and \frac{225}{2}x to get \frac{25}{2}x.
x=150\times \frac{2}{25}
Multiply both sides by \frac{2}{25}, the reciprocal of \frac{25}{2}.
x=\frac{150\times 2}{25}
Express 150\times \frac{2}{25} as a single fraction.
x=\frac{300}{25}
Multiply 150 and 2 to get 300.
x=12
Divide 300 by 25 to get 12.