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