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Simplifying 8(-2x + 2) = 4(x + 24) Reorder the terms: 8(2 + -2x) = 4(x + 24) (2 * 8 + -2x * 8) = 4(x + 24) (16 + -16x) = 4(x + 24) Reorder the terms: 16 + -16x = 4(24 + x) 16 + -16x = (24 * 4 + x * 4) 16 + -16x = (96 + 4x) Solving 16 + -16x = 96 + 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. 16 + -16x + -4x = 96 + 4x + -4x Combine like terms: -16x + -4x = -20x 16 + -20x = 96 + 4x + -4x Combine like terms: 4x + -4x = 0 16 + -20x = 96 + 0 16 + -20x = 96 Add '-16' to each side of the equation. 16 + -16 + -20x = 96 + -16 Combine like terms: 16 + -16 = 0 0 + -20x = 96 + -16 -20x = 96 + -16 Combine like terms: 96 + -16 = 80 -20x = 80 Divide each side by '-20'. x = -4 Simplifying x = -4
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