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Simplifying 2(x + 2) + -1(9 + x) = -2 Reorder the terms: 2(2 + x) + -1(9 + x) = -2 (2 * 2 + x * 2) + -1(9 + x) = -2 (4 + 2x) + -1(9 + x) = -2 4 + 2x + (9 * -1 + x * -1) = -2 4 + 2x + (-9 + -1x) = -2 Reorder the terms: 4 + -9 + 2x + -1x = -2 Combine like terms: 4 + -9 = -5 -5 + 2x + -1x = -2 Combine like terms: 2x + -1x = 1x -5 + 1x = -2 Solving -5 + 1x = -2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 1x = -2 + 5 Combine like terms: -5 + 5 = 0 0 + 1x = -2 + 5 1x = -2 + 5 Combine like terms: -2 + 5 = 3 1x = 3 Divide each side by '1'. x = 3 Simplifying x = 3
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