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Simplifying 12(3x + 3) + -6(2x + -6) = 4x + -48 Reorder the terms: 12(3 + 3x) + -6(2x + -6) = 4x + -48 (3 * 12 + 3x * 12) + -6(2x + -6) = 4x + -48 (36 + 36x) + -6(2x + -6) = 4x + -48 Reorder the terms: 36 + 36x + -6(-6 + 2x) = 4x + -48 36 + 36x + (-6 * -6 + 2x * -6) = 4x + -48 36 + 36x + (36 + -12x) = 4x + -48 Reorder the terms: 36 + 36 + 36x + -12x = 4x + -48 Combine like terms: 36 + 36 = 72 72 + 36x + -12x = 4x + -48 Combine like terms: 36x + -12x = 24x 72 + 24x = 4x + -48 Reorder the terms: 72 + 24x = -48 + 4x Solving 72 + 24x = -48 + 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. 72 + 24x + -4x = -48 + 4x + -4x Combine like terms: 24x + -4x = 20x 72 + 20x = -48 + 4x + -4x Combine like terms: 4x + -4x = 0 72 + 20x = -48 + 0 72 + 20x = -48 Add '-72' to each side of the equation. 72 + -72 + 20x = -48 + -72 Combine like terms: 72 + -72 = 0 0 + 20x = -48 + -72 20x = -48 + -72 Combine like terms: -48 + -72 = -120 20x = -120 Divide each side by '20'. x = -6 Simplifying x = -6
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