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8.5\left(x+1\right)=10x+7
Multiply 10 and 0.85 to get 8.5.
8.5x+8.5=10x+7
Use the distributive property to multiply 8.5 by x+1.
8.5x+8.5-10x=7
Subtract 10x from both sides.
-1.5x+8.5=7
Combine 8.5x and -10x to get -1.5x.
-1.5x=7-8.5
Subtract 8.5 from both sides.
-1.5x=-1.5
Subtract 8.5 from 7 to get -1.5.
x=\frac{-1.5}{-1.5}
Divide both sides by -1.5.
x=1
Divide -1.5 by -1.5 to get 1.