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