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Simplifying 5(x + -1) = 35(4x + 2) Reorder the terms: 5(-1 + x) = 35(4x + 2) (-1 * 5 + x * 5) = 35(4x + 2) (-5 + 5x) = 35(4x + 2) Reorder the terms: -5 + 5x = 35(2 + 4x) -5 + 5x = (2 * 35 + 4x * 35) -5 + 5x = (70 + 140x) Solving -5 + 5x = 70 + 140x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-140x' to each side of the equation. -5 + 5x + -140x = 70 + 140x + -140x Combine like terms: 5x + -140x = -135x -5 + -135x = 70 + 140x + -140x Combine like terms: 140x + -140x = 0 -5 + -135x = 70 + 0 -5 + -135x = 70 Add '5' to each side of the equation. -5 + 5 + -135x = 70 + 5 Combine like terms: -5 + 5 = 0 0 + -135x = 70 + 5 -135x = 70 + 5 Combine like terms: 70 + 5 = 75 -135x = 75 Divide each side by '-135'. x = -0.5555555556 Simplifying x = -0.5555555556
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