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Simplifying 35(x + -12) + -35(5x + -2) = 35(2) Reorder the terms: 35(-12 + x) + -35(5x + -2) = 35(2) (-12 * 35 + x * 35) + -35(5x + -2) = 35(2) (-420 + 35x) + -35(5x + -2) = 35(2) Reorder the terms: -420 + 35x + -35(-2 + 5x) = 35(2) -420 + 35x + (-2 * -35 + 5x * -35) = 35(2) -420 + 35x + (70 + -175x) = 35(2) Reorder the terms: -420 + 70 + 35x + -175x = 35(2) Combine like terms: -420 + 70 = -350 -350 + 35x + -175x = 35(2) Combine like terms: 35x + -175x = -140x -350 + -140x = 35(2) Multiply 35 * 2 -350 + -140x = 70 Solving -350 + -140x = 70 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '350' to each side of the equation. -350 + 350 + -140x = 70 + 350 Combine like terms: -350 + 350 = 0 0 + -140x = 70 + 350 -140x = 70 + 350 Combine like terms: 70 + 350 = 420 -140x = 420 Divide each side by '-140'. x = -3 Simplifying x = -3
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