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4200-120x=90\left(35+x\right)
Use the distributive property to multiply 120 by 35-x.
4200-120x=3150+90x
Use the distributive property to multiply 90 by 35+x.
4200-120x-90x=3150
Subtract 90x from both sides.
4200-210x=3150
Combine -120x and -90x to get -210x.
-210x=3150-4200
Subtract 4200 from both sides.
-210x=-1050
Subtract 4200 from 3150 to get -1050.
x=\frac{-1050}{-210}
Divide both sides by -210.
x=5
Divide -1050 by -210 to get 5.