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Simplifying (y + -10)(x + 5) = (y + 25)(x + -5) Reorder the terms: (-10 + y)(x + 5) = (y + 25)(x + -5) Reorder the terms: (-10 + y)(5 + x) = (y + 25)(x + -5) Multiply (-10 + y) * (5 + x) (-10(5 + x) + y(5 + x)) = (y + 25)(x + -5) ((5 * -10 + x * -10) + y(5 + x)) = (y + 25)(x + -5) ((-50 + -10x) + y(5 + x)) = (y + 25)(x + -5) (-50 + -10x + (5 * y + x * y)) = (y + 25)(x + -5) Reorder the terms: (-50 + -10x + (xy + 5y)) = (y + 25)(x + -5) (-50 + -10x + (xy + 5y)) = (y + 25)(x + -5) (-50 + -10x + xy + 5y) = (y + 25)(x + -5) Reorder the terms: -50 + -10x + xy + 5y = (25 + y)(x + -5) Reorder the terms: -50 + -10x + xy + 5y = (25 + y)(-5 + x) Multiply (25 + y) * (-5 + x) -50 + -10x + xy + 5y = (25(-5 + x) + y(-5 + x)) -50 + -10x + xy + 5y = ((-5 * 25 + x * 25) + y(-5 + x)) -50 + -10x + xy + 5y = ((-125 + 25x) + y(-5 + x)) -50 + -10x + xy + 5y = (-125 + 25x + (-5 * y + x * y)) Reorder the terms: -50 + -10x + xy + 5y = (-125 + 25x + (xy + -5y)) -50 + -10x + xy + 5y = (-125 + 25x + (xy + -5y)) -50 + -10x + xy + 5y = (-125 + 25x + xy + -5y) Add '-1xy' to each side of the equation. -50 + -10x + xy + -1xy + 5y = -125 + 25x + xy + -1xy + -5y Combine like terms: xy + -1xy = 0 -50 + -10x + 0 + 5y = -125 + 25x + xy + -1xy + -5y -50 + -10x + 5y = -125 + 25x + xy + -1xy + -5y Combine like terms: xy + -1xy = 0 -50 + -10x + 5y = -125 + 25x + 0 + -5y -50 + -10x + 5y = -125 + 25x + -5y Solving -50 + -10x + 5y = -125 + 25x + -5y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. -50 + -10x + -25x + 5y = -125 + 25x + -25x + -5y Combine like terms: -10x + -25x = -35x -50 + -35x + 5y = -125 + 25x + -25x + -5y Combine like terms: 25x + -25x = 0 -50 + -35x + 5y = -125 + 0 + -5y -50 + -35x + 5y = -125 + -5y Add '50' to each side of the equation. -50 + -35x + 50 + 5y = -125 + 50 + -5y Reorder the terms: -50 + 50 + -35x + 5y = -125 + 50 + -5y Combine like terms: -50 + 50 = 0 0 + -35x + 5y = -125 + 50 + -5y -35x + 5y = -125 + 50 + -5y Combine like terms: -125 + 50 = -75 -35x + 5y = -75 + -5y Add '-5y' to each side of the equation. -35x + 5y + -5y = -75 + -5y + -5y Combine like terms: 5y + -5y = 0 -35x + 0 = -75 + -5y + -5y -35x = -75 + -5y + -5y Combine like terms: -5y + -5y = -10y -35x = -75 + -10y Divide each side by '-35'. x = 2.142857143 + 0.2857142857y Simplifying x = 2.142857143 + 0.2857142857y
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