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Simplifying 12(3x + 3) + -7(2x + -6) = 2x + -42 Reorder the terms: 12(3 + 3x) + -7(2x + -6) = 2x + -42 (3 * 12 + 3x * 12) + -7(2x + -6) = 2x + -42 (36 + 36x) + -7(2x + -6) = 2x + -42 Reorder the terms: 36 + 36x + -7(-6 + 2x) = 2x + -42 36 + 36x + (-6 * -7 + 2x * -7) = 2x + -42 36 + 36x + (42 + -14x) = 2x + -42 Reorder the terms: 36 + 42 + 36x + -14x = 2x + -42 Combine like terms: 36 + 42 = 78 78 + 36x + -14x = 2x + -42 Combine like terms: 36x + -14x = 22x 78 + 22x = 2x + -42 Reorder the terms: 78 + 22x = -42 + 2x Solving 78 + 22x = -42 + 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. 78 + 22x + -2x = -42 + 2x + -2x Combine like terms: 22x + -2x = 20x 78 + 20x = -42 + 2x + -2x Combine like terms: 2x + -2x = 0 78 + 20x = -42 + 0 78 + 20x = -42 Add '-78' to each side of the equation. 78 + -78 + 20x = -42 + -78 Combine like terms: 78 + -78 = 0 0 + 20x = -42 + -78 20x = -42 + -78 Combine like terms: -42 + -78 = -120 20x = -120 Divide each side by '20'. x = -6 Simplifying x = -6
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