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1000+x-17x=0
Subtract 17x from both sides.
1000-16x=0
Combine x and -17x to get -16x.
-16x=-1000
Subtract 1000 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-1000}{-16}
Divide both sides by -16.
x=\frac{125}{2}
Reduce the fraction \frac{-1000}{-16} to lowest terms by extracting and canceling out -8.