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Simplifying 12(3x + 3) + -5(2x + -7) = 6x + -29 Reorder the terms: 12(3 + 3x) + -5(2x + -7) = 6x + -29 (3 * 12 + 3x * 12) + -5(2x + -7) = 6x + -29 (36 + 36x) + -5(2x + -7) = 6x + -29 Reorder the terms: 36 + 36x + -5(-7 + 2x) = 6x + -29 36 + 36x + (-7 * -5 + 2x * -5) = 6x + -29 36 + 36x + (35 + -10x) = 6x + -29 Reorder the terms: 36 + 35 + 36x + -10x = 6x + -29 Combine like terms: 36 + 35 = 71 71 + 36x + -10x = 6x + -29 Combine like terms: 36x + -10x = 26x 71 + 26x = 6x + -29 Reorder the terms: 71 + 26x = -29 + 6x Solving 71 + 26x = -29 + 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. 71 + 26x + -6x = -29 + 6x + -6x Combine like terms: 26x + -6x = 20x 71 + 20x = -29 + 6x + -6x Combine like terms: 6x + -6x = 0 71 + 20x = -29 + 0 71 + 20x = -29 Add '-71' to each side of the equation. 71 + -71 + 20x = -29 + -71 Combine like terms: 71 + -71 = 0 0 + 20x = -29 + -71 20x = -29 + -71 Combine like terms: -29 + -71 = -100 20x = -100 Divide each side by '20'. x = -5 Simplifying x = -5
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