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Simplifying 12(3x + 4) + -7(2x + -4) = 2x + -24 Reorder the terms: 12(4 + 3x) + -7(2x + -4) = 2x + -24 (4 * 12 + 3x * 12) + -7(2x + -4) = 2x + -24 (48 + 36x) + -7(2x + -4) = 2x + -24 Reorder the terms: 48 + 36x + -7(-4 + 2x) = 2x + -24 48 + 36x + (-4 * -7 + 2x * -7) = 2x + -24 48 + 36x + (28 + -14x) = 2x + -24 Reorder the terms: 48 + 28 + 36x + -14x = 2x + -24 Combine like terms: 48 + 28 = 76 76 + 36x + -14x = 2x + -24 Combine like terms: 36x + -14x = 22x 76 + 22x = 2x + -24 Reorder the terms: 76 + 22x = -24 + 2x Solving 76 + 22x = -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. 76 + 22x + -2x = -24 + 2x + -2x Combine like terms: 22x + -2x = 20x 76 + 20x = -24 + 2x + -2x Combine like terms: 2x + -2x = 0 76 + 20x = -24 + 0 76 + 20x = -24 Add '-76' to each side of the equation. 76 + -76 + 20x = -24 + -76 Combine like terms: 76 + -76 = 0 0 + 20x = -24 + -76 20x = -24 + -76 Combine like terms: -24 + -76 = -100 20x = -100 Divide each side by '20'. x = -5 Simplifying x = -5
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