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Simplifying 1 + -2(x + 2) + 2 = 1 Reorder the terms: 1 + -2(2 + x) + 2 = 1 1 + (2 * -2 + x * -2) + 2 = 1 1 + (-4 + -2x) + 2 = 1 Reorder the terms: 1 + -4 + 2 + -2x = 1 Combine like terms: 1 + -4 = -3 -3 + 2 + -2x = 1 Combine like terms: -3 + 2 = -1 -1 + -2x = 1 Solving -1 + -2x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -2x = 1 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = 1 + 1 -2x = 1 + 1 Combine like terms: 1 + 1 = 2 -2x = 2 Divide each side by '-2'. x = -1 Simplifying x = -1
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