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Simplifying 5(2x + -2) = -2(x + -1) Reorder the terms: 5(-2 + 2x) = -2(x + -1) (-2 * 5 + 2x * 5) = -2(x + -1) (-10 + 10x) = -2(x + -1) Reorder the terms: -10 + 10x = -2(-1 + x) -10 + 10x = (-1 * -2 + x * -2) -10 + 10x = (2 + -2x) Solving -10 + 10x = 2 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -10 + 10x + 2x = 2 + -2x + 2x Combine like terms: 10x + 2x = 12x -10 + 12x = 2 + -2x + 2x Combine like terms: -2x + 2x = 0 -10 + 12x = 2 + 0 -10 + 12x = 2 Add '10' to each side of the equation. -10 + 10 + 12x = 2 + 10 Combine like terms: -10 + 10 = 0 0 + 12x = 2 + 10 12x = 2 + 10 Combine like terms: 2 + 10 = 12 12x = 12 Divide each side by '12'. x = 1 Simplifying x = 1
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