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Simplifying 4(1 + -1x) + 2x = -3(x + 1) (1 * 4 + -1x * 4) + 2x = -3(x + 1) (4 + -4x) + 2x = -3(x + 1) Combine like terms: -4x + 2x = -2x 4 + -2x = -3(x + 1) Reorder the terms: 4 + -2x = -3(1 + x) 4 + -2x = (1 * -3 + x * -3) 4 + -2x = (-3 + -3x) Solving 4 + -2x = -3 + -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. 4 + -2x + 3x = -3 + -3x + 3x Combine like terms: -2x + 3x = 1x 4 + 1x = -3 + -3x + 3x Combine like terms: -3x + 3x = 0 4 + 1x = -3 + 0 4 + 1x = -3 Add '-4' to each side of the equation. 4 + -4 + 1x = -3 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = -3 + -4 1x = -3 + -4 Combine like terms: -3 + -4 = -7 1x = -7 Divide each side by '1'. x = -7 Simplifying x = -7
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