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5x+40-5=12x-42
Use the distributive property to multiply 5 by x+8.
5x+35=12x-42
Subtract 5 from 40 to get 35.
5x+35-12x=-42
Subtract 12x from both sides.
-7x+35=-42
Combine 5x and -12x to get -7x.
-7x=-42-35
Subtract 35 from both sides.
-7x=-77
Subtract 35 from -42 to get -77.
x=\frac{-77}{-7}
Divide both sides by -7.
x=11
Divide -77 by -7 to get 11.