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Simplifying 12(3x + 3) + -7(2x + -4) = 2x + -56 Reorder the terms: 12(3 + 3x) + -7(2x + -4) = 2x + -56 (3 * 12 + 3x * 12) + -7(2x + -4) = 2x + -56 (36 + 36x) + -7(2x + -4) = 2x + -56 Reorder the terms: 36 + 36x + -7(-4 + 2x) = 2x + -56 36 + 36x + (-4 * -7 + 2x * -7) = 2x + -56 36 + 36x + (28 + -14x) = 2x + -56 Reorder the terms: 36 + 28 + 36x + -14x = 2x + -56 Combine like terms: 36 + 28 = 64 64 + 36x + -14x = 2x + -56 Combine like terms: 36x + -14x = 22x 64 + 22x = 2x + -56 Reorder the terms: 64 + 22x = -56 + 2x Solving 64 + 22x = -56 + 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. 64 + 22x + -2x = -56 + 2x + -2x Combine like terms: 22x + -2x = 20x 64 + 20x = -56 + 2x + -2x Combine like terms: 2x + -2x = 0 64 + 20x = -56 + 0 64 + 20x = -56 Add '-64' to each side of the equation. 64 + -64 + 20x = -56 + -64 Combine like terms: 64 + -64 = 0 0 + 20x = -56 + -64 20x = -56 + -64 Combine like terms: -56 + -64 = -120 20x = -120 Divide each side by '20'. x = -6 Simplifying x = -6
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