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10\left(355-9x\right)+140x=4550
Multiply both sides of the equation by 7.
3550-90x+140x=4550
Use the distributive property to multiply 10 by 355-9x.
3550+50x=4550
Combine -90x and 140x to get 50x.
50x=4550-3550
Subtract 3550 from both sides.
50x=1000
Subtract 3550 from 4550 to get 1000.
x=\frac{1000}{50}
Divide both sides by 50.
x=20
Divide 1000 by 50 to get 20.