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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 = -6 1x = -6 Divide each side by '1'. x = -6 Simplifying x = -6
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