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