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