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