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Simplifying 2(x + -3) + -2(x + -5) + 2x = 0 Reorder the terms: 2(-3 + x) + -2(x + -5) + 2x = 0 (-3 * 2 + x * 2) + -2(x + -5) + 2x = 0 (-6 + 2x) + -2(x + -5) + 2x = 0 Reorder the terms: -6 + 2x + -2(-5 + x) + 2x = 0 -6 + 2x + (-5 * -2 + x * -2) + 2x = 0 -6 + 2x + (10 + -2x) + 2x = 0 Reorder the terms: -6 + 10 + 2x + -2x + 2x = 0 Combine like terms: -6 + 10 = 4 4 + 2x + -2x + 2x = 0 Combine like terms: 2x + -2x = 0 4 + 0 + 2x = 0 4 + 2x = 0 Solving 4 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 2x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = 0 + -4 2x = 0 + -4 Combine like terms: 0 + -4 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2

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