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Simplifying 5x + 7(x + -5) + -3(y + -5) = 12x + -3y + -20 Reorder the terms: 5x + 7(-5 + x) + -3(y + -5) = 12x + -3y + -20 5x + (-5 * 7 + x * 7) + -3(y + -5) = 12x + -3y + -20 5x + (-35 + 7x) + -3(y + -5) = 12x + -3y + -20 Reorder the terms: 5x + -35 + 7x + -3(-5 + y) = 12x + -3y + -20 5x + -35 + 7x + (-5 * -3 + y * -3) = 12x + -3y + -20 5x + -35 + 7x + (15 + -3y) = 12x + -3y + -20 Reorder the terms: -35 + 15 + 5x + 7x + -3y = 12x + -3y + -20 Combine like terms: -35 + 15 = -20 -20 + 5x + 7x + -3y = 12x + -3y + -20 Combine like terms: 5x + 7x = 12x -20 + 12x + -3y = 12x + -3y + -20 Reorder the terms: -20 + 12x + -3y = -20 + 12x + -3y Add '20' to each side of the equation. -20 + 12x + 20 + -3y = -20 + 12x + 20 + -3y Reorder the terms: -20 + 20 + 12x + -3y = -20 + 12x + 20 + -3y Combine like terms: -20 + 20 = 0 0 + 12x + -3y = -20 + 12x + 20 + -3y 12x + -3y = -20 + 12x + 20 + -3y Reorder the terms: 12x + -3y = -20 + 20 + 12x + -3y Combine like terms: -20 + 20 = 0 12x + -3y = 0 + 12x + -3y 12x + -3y = 12x + -3y Add '-12x' to each side of the equation. 12x + -12x + -3y = 12x + -12x + -3y Combine like terms: 12x + -12x = 0 0 + -3y = 12x + -12x + -3y -3y = 12x + -12x + -3y Combine like terms: 12x + -12x = 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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