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100x+x\times 15=1500
Multiply both sides of the equation by 100.
115x=1500
Combine 100x and x\times 15 to get 115x.
x=\frac{1500}{115}
Divide both sides by 115.
x=\frac{300}{23}
Reduce the fraction \frac{1500}{115} to lowest terms by extracting and canceling out 5.