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Simplifying 3x + 4y + -5y + 2x = 5x + -1y Reorder the terms: 3x + 2x + 4y + -5y = 5x + -1y Combine like terms: 3x + 2x = 5x 5x + 4y + -5y = 5x + -1y Combine like terms: 4y + -5y = -1y 5x + -1y = 5x + -1y Add '-5x' to each side of the equation. 5x + -5x + -1y = 5x + -5x + -1y Combine like terms: 5x + -5x = 0 0 + -1y = 5x + -5x + -1y -1y = 5x + -5x + -1y Combine like terms: 5x + -5x = 0 -1y = 0 + -1y -1y = -1y Add 'y' to each side of the equation. -1y + y = -1y + y Combine like terms: -1y + y = 0 0 = -1y + y Combine like terms: -1y + y = 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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