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x+6=7x-42
Multiply both sides of the equation by 7.
x+6-7x=-42
Subtract 7x from both sides.
-6x+6=-42
Combine x and -7x to get -6x.
-6x=-42-6
Subtract 6 from both sides.
-6x=-48
Subtract 6 from -42 to get -48.
x=\frac{-48}{-6}
Divide both sides by -6.
x=8
Divide -48 by -6 to get 8.