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Simplifying -4x + 2 + -1(-1x + 1) = -3 + (-1x + 5) Reorder the terms: -4x + 2 + -1(1 + -1x) = -3 + (-1x + 5) -4x + 2 + (1 * -1 + -1x * -1) = -3 + (-1x + 5) -4x + 2 + (-1 + 1x) = -3 + (-1x + 5) Reorder the terms: 2 + -1 + -4x + 1x = -3 + (-1x + 5) Combine like terms: 2 + -1 = 1 1 + -4x + 1x = -3 + (-1x + 5) Combine like terms: -4x + 1x = -3x 1 + -3x = -3 + (-1x + 5) Reorder the terms: 1 + -3x = -3 + (5 + -1x) Remove parenthesis around (5 + -1x) 1 + -3x = -3 + 5 + -1x Combine like terms: -3 + 5 = 2 1 + -3x = 2 + -1x Solving 1 + -3x = 2 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 1 + -3x + x = 2 + -1x + x Combine like terms: -3x + x = -2x 1 + -2x = 2 + -1x + x Combine like terms: -1x + x = 0 1 + -2x = 2 + 0 1 + -2x = 2 Add '-1' to each side of the equation. 1 + -1 + -2x = 2 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 2 + -1 -2x = 2 + -1 Combine like terms: 2 + -1 = 1 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5
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