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Simplifying 12(3x + 5) + -5(2x + -3) = 6x + -45 Reorder the terms: 12(5 + 3x) + -5(2x + -3) = 6x + -45 (5 * 12 + 3x * 12) + -5(2x + -3) = 6x + -45 (60 + 36x) + -5(2x + -3) = 6x + -45 Reorder the terms: 60 + 36x + -5(-3 + 2x) = 6x + -45 60 + 36x + (-3 * -5 + 2x * -5) = 6x + -45 60 + 36x + (15 + -10x) = 6x + -45 Reorder the terms: 60 + 15 + 36x + -10x = 6x + -45 Combine like terms: 60 + 15 = 75 75 + 36x + -10x = 6x + -45 Combine like terms: 36x + -10x = 26x 75 + 26x = 6x + -45 Reorder the terms: 75 + 26x = -45 + 6x Solving 75 + 26x = -45 + 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. 75 + 26x + -6x = -45 + 6x + -6x Combine like terms: 26x + -6x = 20x 75 + 20x = -45 + 6x + -6x Combine like terms: 6x + -6x = 0 75 + 20x = -45 + 0 75 + 20x = -45 Add '-75' to each side of the equation. 75 + -75 + 20x = -45 + -75 Combine like terms: 75 + -75 = 0 0 + 20x = -45 + -75 20x = -45 + -75 Combine like terms: -45 + -75 = -120 20x = -120 Divide each side by '20'. x = -6 Simplifying x = -6
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