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8x+1260-12x=1082
Use the distributive property to multiply 12 by 105-x.
-4x+1260=1082
Combine 8x and -12x to get -4x.
-4x=1082-1260
Subtract 1260 from both sides.
-4x=-178
Subtract 1260 from 1082 to get -178.
x=\frac{-178}{-4}
Divide both sides by -4.
x=\frac{89}{2}
Reduce the fraction \frac{-178}{-4} to lowest terms by extracting and canceling out -2.