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Simplifying 2(10x + -10) = 3(5x + -15) Reorder the terms: 2(-10 + 10x) = 3(5x + -15) (-10 * 2 + 10x * 2) = 3(5x + -15) (-20 + 20x) = 3(5x + -15) Reorder the terms: -20 + 20x = 3(-15 + 5x) -20 + 20x = (-15 * 3 + 5x * 3) -20 + 20x = (-45 + 15x) Solving -20 + 20x = -45 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -20 + 20x + -15x = -45 + 15x + -15x Combine like terms: 20x + -15x = 5x -20 + 5x = -45 + 15x + -15x Combine like terms: 15x + -15x = 0 -20 + 5x = -45 + 0 -20 + 5x = -45 Add '20' to each side of the equation. -20 + 20 + 5x = -45 + 20 Combine like terms: -20 + 20 = 0 0 + 5x = -45 + 20 5x = -45 + 20 Combine like terms: -45 + 20 = -25 5x = -25 Divide each side by '5'. x = -5 Simplifying x = -5
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