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Simplifying (2x + -3) + -1(x + -2) = 1 Reorder the terms: (-3 + 2x) + -1(x + -2) = 1 Remove parenthesis around (-3 + 2x) -3 + 2x + -1(x + -2) = 1 Reorder the terms: -3 + 2x + -1(-2 + x) = 1 -3 + 2x + (-2 * -1 + x * -1) = 1 -3 + 2x + (2 + -1x) = 1 Reorder the terms: -3 + 2 + 2x + -1x = 1 Combine like terms: -3 + 2 = -1 -1 + 2x + -1x = 1 Combine like terms: 2x + -1x = 1x -1 + 1x = 1 Solving -1 + 1x = 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 + 1x = 1 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = 1 + 1 1x = 1 + 1 Combine like terms: 1 + 1 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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