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Simplifying 12(3x + 6) + -7(2x + -2) = 2x + -34 Reorder the terms: 12(6 + 3x) + -7(2x + -2) = 2x + -34 (6 * 12 + 3x * 12) + -7(2x + -2) = 2x + -34 (72 + 36x) + -7(2x + -2) = 2x + -34 Reorder the terms: 72 + 36x + -7(-2 + 2x) = 2x + -34 72 + 36x + (-2 * -7 + 2x * -7) = 2x + -34 72 + 36x + (14 + -14x) = 2x + -34 Reorder the terms: 72 + 14 + 36x + -14x = 2x + -34 Combine like terms: 72 + 14 = 86 86 + 36x + -14x = 2x + -34 Combine like terms: 36x + -14x = 22x 86 + 22x = 2x + -34 Reorder the terms: 86 + 22x = -34 + 2x Solving 86 + 22x = -34 + 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. 86 + 22x + -2x = -34 + 2x + -2x Combine like terms: 22x + -2x = 20x 86 + 20x = -34 + 2x + -2x Combine like terms: 2x + -2x = 0 86 + 20x = -34 + 0 86 + 20x = -34 Add '-86' to each side of the equation. 86 + -86 + 20x = -34 + -86 Combine like terms: 86 + -86 = 0 0 + 20x = -34 + -86 20x = -34 + -86 Combine like terms: -34 + -86 = -120 20x = -120 Divide each side by '20'. x = -6 Simplifying x = -6
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