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5x+35=10\left(x-4\right)
Use the distributive property to multiply 5 by x+7.
5x+35=10x-40
Use the distributive property to multiply 10 by x-4.
5x+35-10x=-40
Subtract 10x from both sides.
-5x+35=-40
Combine 5x and -10x to get -5x.
-5x=-40-35
Subtract 35 from both sides.
-5x=-75
Subtract 35 from -40 to get -75.
x=\frac{-75}{-5}
Divide both sides by -5.
x=15
Divide -75 by -5 to get 15.