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Simplifying 12(3x + 5) + -5(2x + -4) = 6x + -40 Reorder the terms: 12(5 + 3x) + -5(2x + -4) = 6x + -40 (5 * 12 + 3x * 12) + -5(2x + -4) = 6x + -40 (60 + 36x) + -5(2x + -4) = 6x + -40 Reorder the terms: 60 + 36x + -5(-4 + 2x) = 6x + -40 60 + 36x + (-4 * -5 + 2x * -5) = 6x + -40 60 + 36x + (20 + -10x) = 6x + -40 Reorder the terms: 60 + 20 + 36x + -10x = 6x + -40 Combine like terms: 60 + 20 = 80 80 + 36x + -10x = 6x + -40 Combine like terms: 36x + -10x = 26x 80 + 26x = 6x + -40 Reorder the terms: 80 + 26x = -40 + 6x Solving 80 + 26x = -40 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 80 + 26x + -6x = -40 + 6x + -6x Combine like terms: 26x + -6x = 20x 80 + 20x = -40 + 6x + -6x Combine like terms: 6x + -6x = 0 80 + 20x = -40 + 0 80 + 20x = -40 Add '-80' to each side of the equation. 80 + -80 + 20x = -40 + -80 Combine like terms: 80 + -80 = 0 0 + 20x = -40 + -80 20x = -40 + -80 Combine like terms: -40 + -80 = -120 20x = -120 Divide each side by '20'. x = -6 Simplifying x = -6
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