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Simplifying (x + -10)(y + 5) = (x + 25)(y + -5) Reorder the terms: (-10 + x)(y + 5) = (x + 25)(y + -5) Reorder the terms: (-10 + x)(5 + y) = (x + 25)(y + -5) Multiply (-10 + x) * (5 + y) (-10(5 + y) + x(5 + y)) = (x + 25)(y + -5) ((5 * -10 + y * -10) + x(5 + y)) = (x + 25)(y + -5) ((-50 + -10y) + x(5 + y)) = (x + 25)(y + -5) (-50 + -10y + (5 * x + y * x)) = (x + 25)(y + -5) (-50 + -10y + (5x + xy)) = (x + 25)(y + -5) Reorder the terms: (-50 + 5x + xy + -10y) = (x + 25)(y + -5) (-50 + 5x + xy + -10y) = (x + 25)(y + -5) Reorder the terms: -50 + 5x + xy + -10y = (25 + x)(y + -5) Reorder the terms: -50 + 5x + xy + -10y = (25 + x)(-5 + y) Multiply (25 + x) * (-5 + y) -50 + 5x + xy + -10y = (25(-5 + y) + x(-5 + y)) -50 + 5x + xy + -10y = ((-5 * 25 + y * 25) + x(-5 + y)) -50 + 5x + xy + -10y = ((-125 + 25y) + x(-5 + y)) -50 + 5x + xy + -10y = (-125 + 25y + (-5 * x + y * x)) -50 + 5x + xy + -10y = (-125 + 25y + (-5x + xy)) Reorder the terms: -50 + 5x + xy + -10y = (-125 + -5x + xy + 25y) -50 + 5x + xy + -10y = (-125 + -5x + xy + 25y) Add '-1xy' to each side of the equation. -50 + 5x + xy + -1xy + -10y = -125 + -5x + xy + -1xy + 25y Combine like terms: xy + -1xy = 0 -50 + 5x + 0 + -10y = -125 + -5x + xy + -1xy + 25y -50 + 5x + -10y = -125 + -5x + xy + -1xy + 25y Combine like terms: xy + -1xy = 0 -50 + 5x + -10y = -125 + -5x + 0 + 25y -50 + 5x + -10y = -125 + -5x + 25y Solving -50 + 5x + -10y = -125 + -5x + 25y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -50 + 5x + 5x + -10y = -125 + -5x + 5x + 25y Combine like terms: 5x + 5x = 10x -50 + 10x + -10y = -125 + -5x + 5x + 25y Combine like terms: -5x + 5x = 0 -50 + 10x + -10y = -125 + 0 + 25y -50 + 10x + -10y = -125 + 25y Add '50' to each side of the equation. -50 + 10x + 50 + -10y = -125 + 50 + 25y Reorder the terms: -50 + 50 + 10x + -10y = -125 + 50 + 25y Combine like terms: -50 + 50 = 0 0 + 10x + -10y = -125 + 50 + 25y 10x + -10y = -125 + 50 + 25y Combine like terms: -125 + 50 = -75 10x + -10y = -75 + 25y Add '10y' to each side of the equation. 10x + -10y + 10y = -75 + 25y + 10y Combine like terms: -10y + 10y = 0 10x + 0 = -75 + 25y + 10y 10x = -75 + 25y + 10y Combine like terms: 25y + 10y = 35y 10x = -75 + 35y Divide each side by '10'. x = -7.5 + 3.5y Simplifying x = -7.5 + 3.5y
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