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120=10\left(-x+35\right)
Variable x cannot be equal to 35 since division by zero is not defined. Multiply both sides of the equation by -x+35.
120=-10x+350
Use the distributive property to multiply 10 by -x+35.
-10x+350=120
Swap sides so that all variable terms are on the left hand side.
-10x=120-350
Subtract 350 from both sides.
-10x=-230
Subtract 350 from 120 to get -230.
x=\frac{-230}{-10}
Divide both sides by -10.
x=23
Divide -230 by -10 to get 23.