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Simplifying 4(x + 1) = -2(x + 2) Reorder the terms: 4(1 + x) = -2(x + 2) (1 * 4 + x * 4) = -2(x + 2) (4 + 4x) = -2(x + 2) Reorder the terms: 4 + 4x = -2(2 + x) 4 + 4x = (2 * -2 + x * -2) 4 + 4x = (-4 + -2x) Solving 4 + 4x = -4 + -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 + 4x + 2x = -4 + -2x + 2x Combine like terms: 4x + 2x = 6x 4 + 6x = -4 + -2x + 2x Combine like terms: -2x + 2x = 0 4 + 6x = -4 + 0 4 + 6x = -4 Add '-4' to each side of the equation. 4 + -4 + 6x = -4 + -4 Combine like terms: 4 + -4 = 0 0 + 6x = -4 + -4 6x = -4 + -4 Combine like terms: -4 + -4 = -8 6x = -8 Divide each side by '6'. x = -1.333333333 Simplifying x = -1.333333333
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