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Simplifying 2x + -5(-3y + 5x) + -5y = 2x + 15y + -25x + -5y Reorder the terms: 2x + -5(5x + -3y) + -5y = 2x + 15y + -25x + -5y 2x + (5x * -5 + -3y * -5) + -5y = 2x + 15y + -25x + -5y 2x + (-25x + 15y) + -5y = 2x + 15y + -25x + -5y Combine like terms: 2x + -25x = -23x -23x + 15y + -5y = 2x + 15y + -25x + -5y Combine like terms: 15y + -5y = 10y -23x + 10y = 2x + 15y + -25x + -5y Reorder the terms: -23x + 10y = 2x + -25x + 15y + -5y Combine like terms: 2x + -25x = -23x -23x + 10y = -23x + 15y + -5y Combine like terms: 15y + -5y = 10y -23x + 10y = -23x + 10y Add '23x' to each side of the equation. -23x + 23x + 10y = -23x + 23x + 10y Combine like terms: -23x + 23x = 0 0 + 10y = -23x + 23x + 10y 10y = -23x + 23x + 10y Combine like terms: -23x + 23x = 0 10y = 0 + 10y 10y = 10y Add '-10y' to each side of the equation. 10y + -10y = 10y + -10y Combine like terms: 10y + -10y = 0 0 = 10y + -10y Combine like terms: 10y + -10y = 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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