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Simplifying (2x + -3y) + -1((2y + -3x) + -1(2x + 3y)) = 7x + -2y Remove parenthesis around (2x + -3y) 2x + -3y + -1((2y + -3x) + -1(2x + 3y)) = 7x + -2y Reorder the terms: 2x + -3y + -1((-3x + 2y) + -1(2x + 3y)) = 7x + -2y Remove parenthesis around (-3x + 2y) 2x + -3y + -1(-3x + 2y + -1(2x + 3y)) = 7x + -2y 2x + -3y + -1(-3x + 2y + (2x * -1 + 3y * -1)) = 7x + -2y 2x + -3y + -1(-3x + 2y + (-2x + -3y)) = 7x + -2y Reorder the terms: 2x + -3y + -1(-3x + -2x + 2y + -3y) = 7x + -2y Combine like terms: -3x + -2x = -5x 2x + -3y + -1(-5x + 2y + -3y) = 7x + -2y Combine like terms: 2y + -3y = -1y 2x + -3y + -1(-5x + -1y) = 7x + -2y 2x + -3y + (-5x * -1 + -1y * -1) = 7x + -2y 2x + -3y + (5x + 1y) = 7x + -2y Reorder the terms: 2x + 5x + -3y + 1y = 7x + -2y Combine like terms: 2x + 5x = 7x 7x + -3y + 1y = 7x + -2y Combine like terms: -3y + 1y = -2y 7x + -2y = 7x + -2y Add '-7x' to each side of the equation. 7x + -7x + -2y = 7x + -7x + -2y Combine like terms: 7x + -7x = 0 0 + -2y = 7x + -7x + -2y -2y = 7x + -7x + -2y Combine like terms: 7x + -7x = 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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