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Simplifying 5(2x + -2) = -10(-2x + 1) Reorder the terms: 5(-2 + 2x) = -10(-2x + 1) (-2 * 5 + 2x * 5) = -10(-2x + 1) (-10 + 10x) = -10(-2x + 1) Reorder the terms: -10 + 10x = -10(1 + -2x) -10 + 10x = (1 * -10 + -2x * -10) -10 + 10x = (-10 + 20x) Add '10' to each side of the equation. -10 + 10 + 10x = -10 + 10 + 20x Combine like terms: -10 + 10 = 0 0 + 10x = -10 + 10 + 20x 10x = -10 + 10 + 20x Combine like terms: -10 + 10 = 0 10x = 0 + 20x 10x = 20x Solving 10x = 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. 10x + -20x = 20x + -20x Combine like terms: 10x + -20x = -10x -10x = 20x + -20x Combine like terms: 20x + -20x = 0 -10x = 0 Divide each side by '-10'. x = 0 Simplifying x = 0
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