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Simplifying 2[27 + (x + y)] = 2[(y + 27) + x] Remove parenthesis around (x + y) 2[27 + x + y] = 2[(y + 27) + x] [27 * 2 + x * 2 + y * 2] = 2[(y + 27) + x] [54 + 2x + 2y] = 2[(y + 27) + x] Reorder the terms: 54 + 2x + 2y = 2[(27 + y) + x] Remove parenthesis around (27 + y) 54 + 2x + 2y = 2[27 + y + x] Reorder the terms: 54 + 2x + 2y = 2[27 + x + y] 54 + 2x + 2y = [27 * 2 + x * 2 + y * 2] 54 + 2x + 2y = [54 + 2x + 2y] Add '-54' to each side of the equation. 54 + 2x + -54 + 2y = 54 + 2x + -54 + 2y Reorder the terms: 54 + -54 + 2x + 2y = 54 + 2x + -54 + 2y Combine like terms: 54 + -54 = 0 0 + 2x + 2y = 54 + 2x + -54 + 2y 2x + 2y = 54 + 2x + -54 + 2y Reorder the terms: 2x + 2y = 54 + -54 + 2x + 2y Combine like terms: 54 + -54 = 0 2x + 2y = 0 + 2x + 2y 2x + 2y = 2x + 2y Add '-2x' to each side of the equation. 2x + -2x + 2y = 2x + -2x + 2y Combine like terms: 2x + -2x = 0 0 + 2y = 2x + -2x + 2y 2y = 2x + -2x + 2y Combine like terms: 2x + -2x = 0 2y = 0 + 2y 2y = 2y Add '-2y' to each side of the equation. 2y + -2y = 2y + -2y Combine like terms: 2y + -2y = 0 0 = 2y + -2y Combine like terms: 2y + -2y = 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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