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Simplifying 5(10x + -10) = 5(-4x + 4) Reorder the terms: 5(-10 + 10x) = 5(-4x + 4) (-10 * 5 + 10x * 5) = 5(-4x + 4) (-50 + 50x) = 5(-4x + 4) Reorder the terms: -50 + 50x = 5(4 + -4x) -50 + 50x = (4 * 5 + -4x * 5) -50 + 50x = (20 + -20x) Solving -50 + 50x = 20 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. -50 + 50x + 20x = 20 + -20x + 20x Combine like terms: 50x + 20x = 70x -50 + 70x = 20 + -20x + 20x Combine like terms: -20x + 20x = 0 -50 + 70x = 20 + 0 -50 + 70x = 20 Add '50' to each side of the equation. -50 + 50 + 70x = 20 + 50 Combine like terms: -50 + 50 = 0 0 + 70x = 20 + 50 70x = 20 + 50 Combine like terms: 20 + 50 = 70 70x = 70 Divide each side by '70'. x = 1 Simplifying x = 1
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