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Simplifying 2(x + 2) = -4(x + -1) + -24 Reorder the terms: 2(2 + x) = -4(x + -1) + -24 (2 * 2 + x * 2) = -4(x + -1) + -24 (4 + 2x) = -4(x + -1) + -24 Reorder the terms: 4 + 2x = -4(-1 + x) + -24 4 + 2x = (-1 * -4 + x * -4) + -24 4 + 2x = (4 + -4x) + -24 Reorder the terms: 4 + 2x = 4 + -24 + -4x Combine like terms: 4 + -24 = -20 4 + 2x = -20 + -4x Solving 4 + 2x = -20 + -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. 4 + 2x + 4x = -20 + -4x + 4x Combine like terms: 2x + 4x = 6x 4 + 6x = -20 + -4x + 4x Combine like terms: -4x + 4x = 0 4 + 6x = -20 + 0 4 + 6x = -20 Add '-4' to each side of the equation. 4 + -4 + 6x = -20 + -4 Combine like terms: 4 + -4 = 0 0 + 6x = -20 + -4 6x = -20 + -4 Combine like terms: -20 + -4 = -24 6x = -24 Divide each side by '6'. x = -4 Simplifying x = -4
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