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Simplifying 4(2 + -1x) + 3x = -2(x + 1) (2 * 4 + -1x * 4) + 3x = -2(x + 1) (8 + -4x) + 3x = -2(x + 1) Combine like terms: -4x + 3x = -1x 8 + -1x = -2(x + 1) Reorder the terms: 8 + -1x = -2(1 + x) 8 + -1x = (1 * -2 + x * -2) 8 + -1x = (-2 + -2x) Solving 8 + -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. 8 + -1x + 2x = -2 + -2x + 2x Combine like terms: -1x + 2x = 1x 8 + 1x = -2 + -2x + 2x Combine like terms: -2x + 2x = 0 8 + 1x = -2 + 0 8 + 1x = -2 Add '-8' to each side of the equation. 8 + -8 + 1x = -2 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = -2 + -8 1x = -2 + -8 Combine like terms: -2 + -8 = -10 1x = -10 Divide each side by '1'. x = -10 Simplifying x = -10
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