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