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Simplifying 12(3x + 5) + -7(2x + -7) = 2x + -11 Reorder the terms: 12(5 + 3x) + -7(2x + -7) = 2x + -11 (5 * 12 + 3x * 12) + -7(2x + -7) = 2x + -11 (60 + 36x) + -7(2x + -7) = 2x + -11 Reorder the terms: 60 + 36x + -7(-7 + 2x) = 2x + -11 60 + 36x + (-7 * -7 + 2x * -7) = 2x + -11 60 + 36x + (49 + -14x) = 2x + -11 Reorder the terms: 60 + 49 + 36x + -14x = 2x + -11 Combine like terms: 60 + 49 = 109 109 + 36x + -14x = 2x + -11 Combine like terms: 36x + -14x = 22x 109 + 22x = 2x + -11 Reorder the terms: 109 + 22x = -11 + 2x Solving 109 + 22x = -11 + 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. 109 + 22x + -2x = -11 + 2x + -2x Combine like terms: 22x + -2x = 20x 109 + 20x = -11 + 2x + -2x Combine like terms: 2x + -2x = 0 109 + 20x = -11 + 0 109 + 20x = -11 Add '-109' to each side of the equation. 109 + -109 + 20x = -11 + -109 Combine like terms: 109 + -109 = 0 0 + 20x = -11 + -109 20x = -11 + -109 Combine like terms: -11 + -109 = -120 20x = -120 Divide each side by '20'. x = -6 Simplifying x = -6
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