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Simplifying 4(1 + -1x) + 3x = (-2)(x + -1) (1 * 4 + -1x * 4) + 3x = (-2)(x + -1) (4 + -4x) + 3x = (-2)(x + -1) Combine like terms: -4x + 3x = -1x 4 + -1x = (-2)(x + -1) Reorder the terms: 4 + -1x = -2(-1 + x) 4 + -1x = (-1 * -2 + x * -2) 4 + -1x = (2 + -2x) Solving 4 + -1x = 2 + -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. 4 + -1x + 2x = 2 + -2x + 2x Combine like terms: -1x + 2x = 1x 4 + 1x = 2 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + 1x = 2 + 0 4 + 1x = 2 Add '-4' to each side of the equation. 4 + -4 + 1x = 2 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 2 + -4 1x = 2 + -4 Combine like terms: 2 + -4 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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