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Simplifying 12(3x + 3) + -5(2x + -6) = 6x + -34 Reorder the terms: 12(3 + 3x) + -5(2x + -6) = 6x + -34 (3 * 12 + 3x * 12) + -5(2x + -6) = 6x + -34 (36 + 36x) + -5(2x + -6) = 6x + -34 Reorder the terms: 36 + 36x + -5(-6 + 2x) = 6x + -34 36 + 36x + (-6 * -5 + 2x * -5) = 6x + -34 36 + 36x + (30 + -10x) = 6x + -34 Reorder the terms: 36 + 30 + 36x + -10x = 6x + -34 Combine like terms: 36 + 30 = 66 66 + 36x + -10x = 6x + -34 Combine like terms: 36x + -10x = 26x 66 + 26x = 6x + -34 Reorder the terms: 66 + 26x = -34 + 6x Solving 66 + 26x = -34 + 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. 66 + 26x + -6x = -34 + 6x + -6x Combine like terms: 26x + -6x = 20x 66 + 20x = -34 + 6x + -6x Combine like terms: 6x + -6x = 0 66 + 20x = -34 + 0 66 + 20x = -34 Add '-66' to each side of the equation. 66 + -66 + 20x = -34 + -66 Combine like terms: 66 + -66 = 0 0 + 20x = -34 + -66 20x = -34 + -66 Combine like terms: -34 + -66 = -100 20x = -100 Divide each side by '20'. x = -5 Simplifying x = -5
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