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Simplifying 3x + 6y + 3 = 3(x + 2y + 1) Reorder the terms: 3 + 3x + 6y = 3(x + 2y + 1) Reorder the terms: 3 + 3x + 6y = 3(1 + x + 2y) 3 + 3x + 6y = (1 * 3 + x * 3 + 2y * 3) 3 + 3x + 6y = (3 + 3x + 6y) Add '-3' to each side of the equation. 3 + 3x + -3 + 6y = 3 + 3x + -3 + 6y Reorder the terms: 3 + -3 + 3x + 6y = 3 + 3x + -3 + 6y Combine like terms: 3 + -3 = 0 0 + 3x + 6y = 3 + 3x + -3 + 6y 3x + 6y = 3 + 3x + -3 + 6y Reorder the terms: 3x + 6y = 3 + -3 + 3x + 6y Combine like terms: 3 + -3 = 0 3x + 6y = 0 + 3x + 6y 3x + 6y = 3x + 6y Add '-3x' to each side of the equation. 3x + -3x + 6y = 3x + -3x + 6y Combine like terms: 3x + -3x = 0 0 + 6y = 3x + -3x + 6y 6y = 3x + -3x + 6y Combine like terms: 3x + -3x = 0 6y = 0 + 6y 6y = 6y Add '-6y' to each side of the equation. 6y + -6y = 6y + -6y Combine like terms: 6y + -6y = 0 0 = 6y + -6y Combine like terms: 6y + -6y = 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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