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Simplifying -1(x + 2) + (2x + -1) = -1(x + 1) + 2(x + -1) Reorder the terms: -1(2 + x) + (2x + -1) = -1(x + 1) + 2(x + -1) (2 * -1 + x * -1) + (2x + -1) = -1(x + 1) + 2(x + -1) (-2 + -1x) + (2x + -1) = -1(x + 1) + 2(x + -1) Reorder the terms: -2 + -1x + (-1 + 2x) = -1(x + 1) + 2(x + -1) Remove parenthesis around (-1 + 2x) -2 + -1x + -1 + 2x = -1(x + 1) + 2(x + -1) Reorder the terms: -2 + -1 + -1x + 2x = -1(x + 1) + 2(x + -1) Combine like terms: -2 + -1 = -3 -3 + -1x + 2x = -1(x + 1) + 2(x + -1) Combine like terms: -1x + 2x = 1x -3 + 1x = -1(x + 1) + 2(x + -1) Reorder the terms: -3 + 1x = -1(1 + x) + 2(x + -1) -3 + 1x = (1 * -1 + x * -1) + 2(x + -1) -3 + 1x = (-1 + -1x) + 2(x + -1) Reorder the terms: -3 + 1x = -1 + -1x + 2(-1 + x) -3 + 1x = -1 + -1x + (-1 * 2 + x * 2) -3 + 1x = -1 + -1x + (-2 + 2x) Reorder the terms: -3 + 1x = -1 + -2 + -1x + 2x Combine like terms: -1 + -2 = -3 -3 + 1x = -3 + -1x + 2x Combine like terms: -1x + 2x = 1x -3 + 1x = -3 + 1x Add '3' to each side of the equation. -3 + 3 + 1x = -3 + 3 + 1x Combine like terms: -3 + 3 = 0 0 + 1x = -3 + 3 + 1x 1x = -3 + 3 + 1x Combine like terms: -3 + 3 = 0 1x = 0 + 1x 1x = 1x Add '-1x' to each side of the equation. 1x + -1x = 1x + -1x Combine like terms: 1x + -1x = 0 0 = 1x + -1x Combine like terms: 1x + -1x = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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