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Simplifying 8(5x + 12) = 4(6x + -6) Reorder the terms: 8(12 + 5x) = 4(6x + -6) (12 * 8 + 5x * 8) = 4(6x + -6) (96 + 40x) = 4(6x + -6) Reorder the terms: 96 + 40x = 4(-6 + 6x) 96 + 40x = (-6 * 4 + 6x * 4) 96 + 40x = (-24 + 24x) Solving 96 + 40x = -24 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 96 + 40x + -24x = -24 + 24x + -24x Combine like terms: 40x + -24x = 16x 96 + 16x = -24 + 24x + -24x Combine like terms: 24x + -24x = 0 96 + 16x = -24 + 0 96 + 16x = -24 Add '-96' to each side of the equation. 96 + -96 + 16x = -24 + -96 Combine like terms: 96 + -96 = 0 0 + 16x = -24 + -96 16x = -24 + -96 Combine like terms: -24 + -96 = -120 16x = -120 Divide each side by '16'. x = -7.5 Simplifying x = -7.5
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