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Simplifying 2x + -1(x + 1) = 2x + -1(x + 1) Reorder the terms: 2x + -1(1 + x) = 2x + -1(x + 1) 2x + (1 * -1 + x * -1) = 2x + -1(x + 1) 2x + (-1 + -1x) = 2x + -1(x + 1) Reorder the terms: -1 + 2x + -1x = 2x + -1(x + 1) Combine like terms: 2x + -1x = 1x -1 + 1x = 2x + -1(x + 1) Reorder the terms: -1 + 1x = 2x + -1(1 + x) -1 + 1x = 2x + (1 * -1 + x * -1) -1 + 1x = 2x + (-1 + -1x) Reorder the terms: -1 + 1x = -1 + 2x + -1x Combine like terms: 2x + -1x = 1x -1 + 1x = -1 + 1x Add '1' to each side of the equation. -1 + 1 + 1x = -1 + 1 + 1x Combine like terms: -1 + 1 = 0 0 + 1x = -1 + 1 + 1x 1x = -1 + 1 + 1x Combine like terms: -1 + 1 = 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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