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0.5x+0.375x=1
Add 0.375x to both sides.
0.875x=1
Combine 0.5x and 0.375x to get 0.875x.
x=\frac{1}{0.875}
Divide both sides by 0.875.
x=\frac{1000}{875}
Expand \frac{1}{0.875} by multiplying both numerator and the denominator by 1000.
x=\frac{8}{7}
Reduce the fraction \frac{1000}{875} to lowest terms by extracting and canceling out 125.