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35x=8575+x\left(-35\right)
Variable x cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by x.
35x-x\left(-35\right)=8575
Subtract x\left(-35\right) from both sides.
70x=8575
Combine 35x and -x\left(-35\right) to get 70x.
x=\frac{8575}{70}
Divide both sides by 70.
x=\frac{245}{2}
Reduce the fraction \frac{8575}{70} to lowest terms by extracting and canceling out 35.