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Simplifying 12(3x + 6) + -7(2x + -4) = 2x + -40 Reorder the terms: 12(6 + 3x) + -7(2x + -4) = 2x + -40 (6 * 12 + 3x * 12) + -7(2x + -4) = 2x + -40 (72 + 36x) + -7(2x + -4) = 2x + -40 Reorder the terms: 72 + 36x + -7(-4 + 2x) = 2x + -40 72 + 36x + (-4 * -7 + 2x * -7) = 2x + -40 72 + 36x + (28 + -14x) = 2x + -40 Reorder the terms: 72 + 28 + 36x + -14x = 2x + -40 Combine like terms: 72 + 28 = 100 100 + 36x + -14x = 2x + -40 Combine like terms: 36x + -14x = 22x 100 + 22x = 2x + -40 Reorder the terms: 100 + 22x = -40 + 2x Solving 100 + 22x = -40 + 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. 100 + 22x + -2x = -40 + 2x + -2x Combine like terms: 22x + -2x = 20x 100 + 20x = -40 + 2x + -2x Combine like terms: 2x + -2x = 0 100 + 20x = -40 + 0 100 + 20x = -40 Add '-100' to each side of the equation. 100 + -100 + 20x = -40 + -100 Combine like terms: 100 + -100 = 0 0 + 20x = -40 + -100 20x = -40 + -100 Combine like terms: -40 + -100 = -140 20x = -140 Divide each side by '20'. x = -7 Simplifying x = -7
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