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10x-8.5\left(x+1\right)=17
Multiply 10 and 0.85 to get 8.5.
10x-8.5x-8.5=17
Use the distributive property to multiply -8.5 by x+1.
1.5x-8.5=17
Combine 10x and -8.5x to get 1.5x.
1.5x=17+8.5
Add 8.5 to both sides.
1.5x=25.5
Add 17 and 8.5 to get 25.5.
x=\frac{25.5}{1.5}
Divide both sides by 1.5.
x=\frac{255}{15}
Expand \frac{25.5}{1.5} by multiplying both numerator and the denominator by 10.
x=17
Divide 255 by 15 to get 17.