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