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x=100-\frac{9}{50}x
Divide 18x by 100 to get \frac{9}{50}x.
x+\frac{9}{50}x=100
Add \frac{9}{50}x to both sides.
\frac{59}{50}x=100
Combine x and \frac{9}{50}x to get \frac{59}{50}x.
x=100\times \frac{50}{59}
Multiply both sides by \frac{50}{59}, the reciprocal of \frac{59}{50}.
x=\frac{100\times 50}{59}
Express 100\times \frac{50}{59} as a single fraction.
x=\frac{5000}{59}
Multiply 100 and 50 to get 5000.