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Simplifying 12(3x + 4) + -7(2x + -3) = 2x + -31 Reorder the terms: 12(4 + 3x) + -7(2x + -3) = 2x + -31 (4 * 12 + 3x * 12) + -7(2x + -3) = 2x + -31 (48 + 36x) + -7(2x + -3) = 2x + -31 Reorder the terms: 48 + 36x + -7(-3 + 2x) = 2x + -31 48 + 36x + (-3 * -7 + 2x * -7) = 2x + -31 48 + 36x + (21 + -14x) = 2x + -31 Reorder the terms: 48 + 21 + 36x + -14x = 2x + -31 Combine like terms: 48 + 21 = 69 69 + 36x + -14x = 2x + -31 Combine like terms: 36x + -14x = 22x 69 + 22x = 2x + -31 Reorder the terms: 69 + 22x = -31 + 2x Solving 69 + 22x = -31 + 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. 69 + 22x + -2x = -31 + 2x + -2x Combine like terms: 22x + -2x = 20x 69 + 20x = -31 + 2x + -2x Combine like terms: 2x + -2x = 0 69 + 20x = -31 + 0 69 + 20x = -31 Add '-69' to each side of the equation. 69 + -69 + 20x = -31 + -69 Combine like terms: 69 + -69 = 0 0 + 20x = -31 + -69 20x = -31 + -69 Combine like terms: -31 + -69 = -100 20x = -100 Divide each side by '20'. x = -5 Simplifying x = -5
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