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Simplifying 4x + 5y + -6x + -2y = 4x + -6x + 5y + -2y Reorder the terms: 4x + -6x + 5y + -2y = 4x + -6x + 5y + -2y Combine like terms: 4x + -6x = -2x -2x + 5y + -2y = 4x + -6x + 5y + -2y Combine like terms: 5y + -2y = 3y -2x + 3y = 4x + -6x + 5y + -2y Combine like terms: 4x + -6x = -2x -2x + 3y = -2x + 5y + -2y Combine like terms: 5y + -2y = 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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