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Simplifying 3(4x + 12) = 2x + -24 Reorder the terms: 3(12 + 4x) = 2x + -24 (12 * 3 + 4x * 3) = 2x + -24 (36 + 12x) = 2x + -24 Reorder the terms: 36 + 12x = -24 + 2x Solving 36 + 12x = -24 + 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. 36 + 12x + -2x = -24 + 2x + -2x Combine like terms: 12x + -2x = 10x 36 + 10x = -24 + 2x + -2x Combine like terms: 2x + -2x = 0 36 + 10x = -24 + 0 36 + 10x = -24 Add '-36' to each side of the equation. 36 + -36 + 10x = -24 + -36 Combine like terms: 36 + -36 = 0 0 + 10x = -24 + -36 10x = -24 + -36 Combine like terms: -24 + -36 = -60 10x = -60 Divide each side by '10'. x = -6 Simplifying x = -6
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