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Simplifying 12(3x + 5) + -6(2x + -6) = 4x + -24 Reorder the terms: 12(5 + 3x) + -6(2x + -6) = 4x + -24 (5 * 12 + 3x * 12) + -6(2x + -6) = 4x + -24 (60 + 36x) + -6(2x + -6) = 4x + -24 Reorder the terms: 60 + 36x + -6(-6 + 2x) = 4x + -24 60 + 36x + (-6 * -6 + 2x * -6) = 4x + -24 60 + 36x + (36 + -12x) = 4x + -24 Reorder the terms: 60 + 36 + 36x + -12x = 4x + -24 Combine like terms: 60 + 36 = 96 96 + 36x + -12x = 4x + -24 Combine like terms: 36x + -12x = 24x 96 + 24x = 4x + -24 Reorder the terms: 96 + 24x = -24 + 4x Solving 96 + 24x = -24 + 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. 96 + 24x + -4x = -24 + 4x + -4x Combine like terms: 24x + -4x = 20x 96 + 20x = -24 + 4x + -4x Combine like terms: 4x + -4x = 0 96 + 20x = -24 + 0 96 + 20x = -24 Add '-96' to each side of the equation. 96 + -96 + 20x = -24 + -96 Combine like terms: 96 + -96 = 0 0 + 20x = -24 + -96 20x = -24 + -96 Combine like terms: -24 + -96 = -120 20x = -120 Divide each side by '20'. x = -6 Simplifying x = -6
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