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x+\frac{9}{20}x=145
Reduce the fraction \frac{45}{100} to lowest terms by extracting and canceling out 5.
\frac{29}{20}x=145
Combine x and \frac{9}{20}x to get \frac{29}{20}x.
x=145\times \frac{20}{29}
Multiply both sides by \frac{20}{29}, the reciprocal of \frac{29}{20}.
x=\frac{145\times 20}{29}
Express 145\times \frac{20}{29} as a single fraction.
x=\frac{2900}{29}
Multiply 145 and 20 to get 2900.
x=100
Divide 2900 by 29 to get 100.