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Simplifying -1(x + 3) + 2(x + -1) = 4(x + -1) Reorder the terms: -1(3 + x) + 2(x + -1) = 4(x + -1) (3 * -1 + x * -1) + 2(x + -1) = 4(x + -1) (-3 + -1x) + 2(x + -1) = 4(x + -1) Reorder the terms: -3 + -1x + 2(-1 + x) = 4(x + -1) -3 + -1x + (-1 * 2 + x * 2) = 4(x + -1) -3 + -1x + (-2 + 2x) = 4(x + -1) Reorder the terms: -3 + -2 + -1x + 2x = 4(x + -1) Combine like terms: -3 + -2 = -5 -5 + -1x + 2x = 4(x + -1) Combine like terms: -1x + 2x = 1x -5 + 1x = 4(x + -1) Reorder the terms: -5 + 1x = 4(-1 + x) -5 + 1x = (-1 * 4 + x * 4) -5 + 1x = (-4 + 4x) Solving -5 + 1x = -4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -5 + 1x + -4x = -4 + 4x + -4x Combine like terms: 1x + -4x = -3x -5 + -3x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 -5 + -3x = -4 + 0 -5 + -3x = -4 Add '5' to each side of the equation. -5 + 5 + -3x = -4 + 5 Combine like terms: -5 + 5 = 0 0 + -3x = -4 + 5 -3x = -4 + 5 Combine like terms: -4 + 5 = 1 -3x = 1 Divide each side by '-3'. x = -0.3333333333 Simplifying x = -0.3333333333
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