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252-9x=7x
Multiply both sides of the equation by 63, the least common multiple of 7,9.
252-9x-7x=0
Subtract 7x from both sides.
252-16x=0
Combine -9x and -7x to get -16x.
-16x=-252
Subtract 252 from both sides. Anything subtracted from zero gives its negation.
x=\frac{-252}{-16}
Divide both sides by -16.
x=\frac{63}{4}
Reduce the fraction \frac{-252}{-16} to lowest terms by extracting and canceling out -4.