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Simplifying 3(-5x + 15) + 45 = -8(5x + -15) Reorder the terms: 3(15 + -5x) + 45 = -8(5x + -15) (15 * 3 + -5x * 3) + 45 = -8(5x + -15) (45 + -15x) + 45 = -8(5x + -15) Reorder the terms: 45 + 45 + -15x = -8(5x + -15) Combine like terms: 45 + 45 = 90 90 + -15x = -8(5x + -15) Reorder the terms: 90 + -15x = -8(-15 + 5x) 90 + -15x = (-15 * -8 + 5x * -8) 90 + -15x = (120 + -40x) Solving 90 + -15x = 120 + -40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40x' to each side of the equation. 90 + -15x + 40x = 120 + -40x + 40x Combine like terms: -15x + 40x = 25x 90 + 25x = 120 + -40x + 40x Combine like terms: -40x + 40x = 0 90 + 25x = 120 + 0 90 + 25x = 120 Add '-90' to each side of the equation. 90 + -90 + 25x = 120 + -90 Combine like terms: 90 + -90 = 0 0 + 25x = 120 + -90 25x = 120 + -90 Combine like terms: 120 + -90 = 30 25x = 30 Divide each side by '25'. x = 1.2 Simplifying x = 1.2
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