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Simplifying -1(3x + 2) + -1(x + -1) = (2x + -2) + -1(2x + 4) Reorder the terms: -1(2 + 3x) + -1(x + -1) = (2x + -2) + -1(2x + 4) (2 * -1 + 3x * -1) + -1(x + -1) = (2x + -2) + -1(2x + 4) (-2 + -3x) + -1(x + -1) = (2x + -2) + -1(2x + 4) Reorder the terms: -2 + -3x + -1(-1 + x) = (2x + -2) + -1(2x + 4) -2 + -3x + (-1 * -1 + x * -1) = (2x + -2) + -1(2x + 4) -2 + -3x + (1 + -1x) = (2x + -2) + -1(2x + 4) Reorder the terms: -2 + 1 + -3x + -1x = (2x + -2) + -1(2x + 4) Combine like terms: -2 + 1 = -1 -1 + -3x + -1x = (2x + -2) + -1(2x + 4) Combine like terms: -3x + -1x = -4x -1 + -4x = (2x + -2) + -1(2x + 4) Reorder the terms: -1 + -4x = (-2 + 2x) + -1(2x + 4) Remove parenthesis around (-2 + 2x) -1 + -4x = -2 + 2x + -1(2x + 4) Reorder the terms: -1 + -4x = -2 + 2x + -1(4 + 2x) -1 + -4x = -2 + 2x + (4 * -1 + 2x * -1) -1 + -4x = -2 + 2x + (-4 + -2x) Reorder the terms: -1 + -4x = -2 + -4 + 2x + -2x Combine like terms: -2 + -4 = -6 -1 + -4x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + -4x = -6 + 0 -1 + -4x = -6 Solving -1 + -4x = -6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -4x = -6 + 1 Combine like terms: -1 + 1 = 0 0 + -4x = -6 + 1 -4x = -6 + 1 Combine like terms: -6 + 1 = -5 -4x = -5 Divide each side by '-4'. x = 1.25 Simplifying x = 1.25
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