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Simplifying 12(3x + 6) + -7(2x + -6) = 2x + -26 Reorder the terms: 12(6 + 3x) + -7(2x + -6) = 2x + -26 (6 * 12 + 3x * 12) + -7(2x + -6) = 2x + -26 (72 + 36x) + -7(2x + -6) = 2x + -26 Reorder the terms: 72 + 36x + -7(-6 + 2x) = 2x + -26 72 + 36x + (-6 * -7 + 2x * -7) = 2x + -26 72 + 36x + (42 + -14x) = 2x + -26 Reorder the terms: 72 + 42 + 36x + -14x = 2x + -26 Combine like terms: 72 + 42 = 114 114 + 36x + -14x = 2x + -26 Combine like terms: 36x + -14x = 22x 114 + 22x = 2x + -26 Reorder the terms: 114 + 22x = -26 + 2x Solving 114 + 22x = -26 + 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. 114 + 22x + -2x = -26 + 2x + -2x Combine like terms: 22x + -2x = 20x 114 + 20x = -26 + 2x + -2x Combine like terms: 2x + -2x = 0 114 + 20x = -26 + 0 114 + 20x = -26 Add '-114' to each side of the equation. 114 + -114 + 20x = -26 + -114 Combine like terms: 114 + -114 = 0 0 + 20x = -26 + -114 20x = -26 + -114 Combine like terms: -26 + -114 = -140 20x = -140 Divide each side by '20'. x = -7 Simplifying x = -7
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