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Simplifying 12(3x + 3) + -5(2x + -4) = 6x + -84 Reorder the terms: 12(3 + 3x) + -5(2x + -4) = 6x + -84 (3 * 12 + 3x * 12) + -5(2x + -4) = 6x + -84 (36 + 36x) + -5(2x + -4) = 6x + -84 Reorder the terms: 36 + 36x + -5(-4 + 2x) = 6x + -84 36 + 36x + (-4 * -5 + 2x * -5) = 6x + -84 36 + 36x + (20 + -10x) = 6x + -84 Reorder the terms: 36 + 20 + 36x + -10x = 6x + -84 Combine like terms: 36 + 20 = 56 56 + 36x + -10x = 6x + -84 Combine like terms: 36x + -10x = 26x 56 + 26x = 6x + -84 Reorder the terms: 56 + 26x = -84 + 6x Solving 56 + 26x = -84 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 56 + 26x + -6x = -84 + 6x + -6x Combine like terms: 26x + -6x = 20x 56 + 20x = -84 + 6x + -6x Combine like terms: 6x + -6x = 0 56 + 20x = -84 + 0 56 + 20x = -84 Add '-56' to each side of the equation. 56 + -56 + 20x = -84 + -56 Combine like terms: 56 + -56 = 0 0 + 20x = -84 + -56 20x = -84 + -56 Combine like terms: -84 + -56 = -140 20x = -140 Divide each side by '20'. x = -7 Simplifying x = -7
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