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Simplifying 3(x + -40) + -4(1 + -1x) + -1x = -2(-1x + 2) Reorder the terms: 3(-40 + x) + -4(1 + -1x) + -1x = -2(-1x + 2) (-40 * 3 + x * 3) + -4(1 + -1x) + -1x = -2(-1x + 2) (-120 + 3x) + -4(1 + -1x) + -1x = -2(-1x + 2) -120 + 3x + (1 * -4 + -1x * -4) + -1x = -2(-1x + 2) -120 + 3x + (-4 + 4x) + -1x = -2(-1x + 2) Reorder the terms: -120 + -4 + 3x + 4x + -1x = -2(-1x + 2) Combine like terms: -120 + -4 = -124 -124 + 3x + 4x + -1x = -2(-1x + 2) Combine like terms: 3x + 4x = 7x -124 + 7x + -1x = -2(-1x + 2) Combine like terms: 7x + -1x = 6x -124 + 6x = -2(-1x + 2) Reorder the terms: -124 + 6x = -2(2 + -1x) -124 + 6x = (2 * -2 + -1x * -2) -124 + 6x = (-4 + 2x) Solving -124 + 6x = -4 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -124 + 6x + -2x = -4 + 2x + -2x Combine like terms: 6x + -2x = 4x -124 + 4x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 -124 + 4x = -4 + 0 -124 + 4x = -4 Add '124' to each side of the equation. -124 + 124 + 4x = -4 + 124 Combine like terms: -124 + 124 = 0 0 + 4x = -4 + 124 4x = -4 + 124 Combine like terms: -4 + 124 = 120 4x = 120 Divide each side by '4'. x = 30 Simplifying x = 30
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