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7x-5x+35=8x-13
Use the distributive property to multiply -5 by x-7.
2x+35=8x-13
Combine 7x and -5x to get 2x.
2x+35-8x=-13
Subtract 8x from both sides.
-6x+35=-13
Combine 2x and -8x to get -6x.
-6x=-13-35
Subtract 35 from both sides.
-6x=-48
Subtract 35 from -13 to get -48.
x=\frac{-48}{-6}
Divide both sides by -6.
x=8
Divide -48 by -6 to get 8.