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6x+400-8x=34\times 10
Use the distributive property to multiply 8 by 50-x.
-2x+400=34\times 10
Combine 6x and -8x to get -2x.
-2x+400=340
Multiply 34 and 10 to get 340.
-2x=340-400
Subtract 400 from both sides.
-2x=-60
Subtract 400 from 340 to get -60.
x=\frac{-60}{-2}
Divide both sides by -2.
x=30
Divide -60 by -2 to get 30.