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200+\frac{9}{10}\left(x-200\right)
Reduce the fraction \frac{90}{100} to lowest terms by extracting and canceling out 10.
200+\frac{9}{10}x+\frac{9}{10}\left(-200\right)
Use the distributive property to multiply \frac{9}{10} by x-200.
200+\frac{9}{10}x+\frac{9\left(-200\right)}{10}
Express \frac{9}{10}\left(-200\right) as a single fraction.
200+\frac{9}{10}x+\frac{-1800}{10}
Multiply 9 and -200 to get -1800.
200+\frac{9}{10}x-180
Divide -1800 by 10 to get -180.
20+\frac{9}{10}x
Subtract 180 from 200 to get 20.
200+\frac{9}{10}\left(x-200\right)
Reduce the fraction \frac{90}{100} to lowest terms by extracting and canceling out 10.
200+\frac{9}{10}x+\frac{9}{10}\left(-200\right)
Use the distributive property to multiply \frac{9}{10} by x-200.
200+\frac{9}{10}x+\frac{9\left(-200\right)}{10}
Express \frac{9}{10}\left(-200\right) as a single fraction.
200+\frac{9}{10}x+\frac{-1800}{10}
Multiply 9 and -200 to get -1800.
200+\frac{9}{10}x-180
Divide -1800 by 10 to get -180.
20+\frac{9}{10}x
Subtract 180 from 200 to get 20.