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Simplifying (x + -1) + x + (x + 1) = (x + -5) + x + (x + 5) Reorder the terms: (-1 + x) + x + (x + 1) = (x + -5) + x + (x + 5) Remove parenthesis around (-1 + x) -1 + x + x + (x + 1) = (x + -5) + x + (x + 5) Reorder the terms: -1 + x + x + (1 + x) = (x + -5) + x + (x + 5) Remove parenthesis around (1 + x) -1 + x + x + 1 + x = (x + -5) + x + (x + 5) Reorder the terms: -1 + 1 + x + x + x = (x + -5) + x + (x + 5) Combine like terms: -1 + 1 = 0 0 + x + x + x = (x + -5) + x + (x + 5) x + x + x = (x + -5) + x + (x + 5) Combine like terms: x + x = 2x 2x + x = (x + -5) + x + (x + 5) Combine like terms: 2x + x = 3x 3x = (x + -5) + x + (x + 5) Reorder the terms: 3x = (-5 + x) + x + (x + 5) Remove parenthesis around (-5 + x) 3x = -5 + x + x + (x + 5) Reorder the terms: 3x = -5 + x + x + (5 + x) Remove parenthesis around (5 + x) 3x = -5 + x + x + 5 + x Reorder the terms: 3x = -5 + 5 + x + x + x Combine like terms: -5 + 5 = 0 3x = 0 + x + x + x 3x = x + x + x Combine like terms: x + x = 2x 3x = 2x + x Combine like terms: 2x + x = 3x 3x = 3x Add '-3x' to each side of the equation. 3x + -3x = 3x + -3x Combine like terms: 3x + -3x = 0 0 = 3x + -3x Combine like terms: 3x + -3x = 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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