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x+7-10x=-5
Subtract 10x from both sides.
-9x+7=-5
Combine x and -10x to get -9x.
-9x=-5-7
Subtract 7 from both sides.
-9x=-12
Subtract 7 from -5 to get -12.
x=\frac{-12}{-9}
Divide both sides by -9.
x=\frac{4}{3}
Reduce the fraction \frac{-12}{-9} to lowest terms by extracting and canceling out -3.