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Simplifying 5(4x + -10) = 5(-10 + -5x) Reorder the terms: 5(-10 + 4x) = 5(-10 + -5x) (-10 * 5 + 4x * 5) = 5(-10 + -5x) (-50 + 20x) = 5(-10 + -5x) -50 + 20x = (-10 * 5 + -5x * 5) -50 + 20x = (-50 + -25x) Add '50' to each side of the equation. -50 + 50 + 20x = -50 + 50 + -25x Combine like terms: -50 + 50 = 0 0 + 20x = -50 + 50 + -25x 20x = -50 + 50 + -25x Combine like terms: -50 + 50 = 0 20x = 0 + -25x 20x = -25x Solving 20x = -25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '25x' to each side of the equation. 20x + 25x = -25x + 25x Combine like terms: 20x + 25x = 45x 45x = -25x + 25x Combine like terms: -25x + 25x = 0 45x = 0 Divide each side by '45'. x = 0 Simplifying x = 0
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