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