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