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Simplifying 4x + (2 + -1x) + 3x = -2(x + 1) Remove parenthesis around (2 + -1x) 4x + 2 + -1x + 3x = -2(x + 1) Reorder the terms: 2 + 4x + -1x + 3x = -2(x + 1) Combine like terms: 4x + -1x = 3x 2 + 3x + 3x = -2(x + 1) Combine like terms: 3x + 3x = 6x 2 + 6x = -2(x + 1) Reorder the terms: 2 + 6x = -2(1 + x) 2 + 6x = (1 * -2 + x * -2) 2 + 6x = (-2 + -2x) Solving 2 + 6x = -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. 2 + 6x + 2x = -2 + -2x + 2x Combine like terms: 6x + 2x = 8x 2 + 8x = -2 + -2x + 2x Combine like terms: -2x + 2x = 0 2 + 8x = -2 + 0 2 + 8x = -2 Add '-2' to each side of the equation. 2 + -2 + 8x = -2 + -2 Combine like terms: 2 + -2 = 0 0 + 8x = -2 + -2 8x = -2 + -2 Combine like terms: -2 + -2 = -4 8x = -4 Divide each side by '8'. x = -0.5 Simplifying x = -0.5
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