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Simplifying 2(x + -1) + -2(x + -2) = -2(x + -3) Reorder the terms: 2(-1 + x) + -2(x + -2) = -2(x + -3) (-1 * 2 + x * 2) + -2(x + -2) = -2(x + -3) (-2 + 2x) + -2(x + -2) = -2(x + -3) Reorder the terms: -2 + 2x + -2(-2 + x) = -2(x + -3) -2 + 2x + (-2 * -2 + x * -2) = -2(x + -3) -2 + 2x + (4 + -2x) = -2(x + -3) Reorder the terms: -2 + 4 + 2x + -2x = -2(x + -3) Combine like terms: -2 + 4 = 2 2 + 2x + -2x = -2(x + -3) Combine like terms: 2x + -2x = 0 2 + 0 = -2(x + -3) 2 = -2(x + -3) Reorder the terms: 2 = -2(-3 + x) 2 = (-3 * -2 + x * -2) 2 = (6 + -2x) Solving 2 = 6 + -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. 2 + 2x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 2 + 2x = 6 + 0 2 + 2x = 6 Add '-2' to each side of the equation. 2 + -2 + 2x = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = 6 + -2 2x = 6 + -2 Combine like terms: 6 + -2 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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