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Simplifying (x + -3)(y + -7) = (x + -4)(y + -3) Reorder the terms: (-3 + x)(y + -7) = (x + -4)(y + -3) Reorder the terms: (-3 + x)(-7 + y) = (x + -4)(y + -3) Multiply (-3 + x) * (-7 + y) (-3(-7 + y) + x(-7 + y)) = (x + -4)(y + -3) ((-7 * -3 + y * -3) + x(-7 + y)) = (x + -4)(y + -3) ((21 + -3y) + x(-7 + y)) = (x + -4)(y + -3) (21 + -3y + (-7 * x + y * x)) = (x + -4)(y + -3) (21 + -3y + (-7x + xy)) = (x + -4)(y + -3) Reorder the terms: (21 + -7x + xy + -3y) = (x + -4)(y + -3) (21 + -7x + xy + -3y) = (x + -4)(y + -3) Reorder the terms: 21 + -7x + xy + -3y = (-4 + x)(y + -3) Reorder the terms: 21 + -7x + xy + -3y = (-4 + x)(-3 + y) Multiply (-4 + x) * (-3 + y) 21 + -7x + xy + -3y = (-4(-3 + y) + x(-3 + y)) 21 + -7x + xy + -3y = ((-3 * -4 + y * -4) + x(-3 + y)) 21 + -7x + xy + -3y = ((12 + -4y) + x(-3 + y)) 21 + -7x + xy + -3y = (12 + -4y + (-3 * x + y * x)) 21 + -7x + xy + -3y = (12 + -4y + (-3x + xy)) Reorder the terms: 21 + -7x + xy + -3y = (12 + -3x + xy + -4y) 21 + -7x + xy + -3y = (12 + -3x + xy + -4y) Add '-1xy' to each side of the equation. 21 + -7x + xy + -1xy + -3y = 12 + -3x + xy + -1xy + -4y Combine like terms: xy + -1xy = 0 21 + -7x + 0 + -3y = 12 + -3x + xy + -1xy + -4y 21 + -7x + -3y = 12 + -3x + xy + -1xy + -4y Combine like terms: xy + -1xy = 0 21 + -7x + -3y = 12 + -3x + 0 + -4y 21 + -7x + -3y = 12 + -3x + -4y Solving 21 + -7x + -3y = 12 + -3x + -4y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 21 + -7x + 3x + -3y = 12 + -3x + 3x + -4y Combine like terms: -7x + 3x = -4x 21 + -4x + -3y = 12 + -3x + 3x + -4y Combine like terms: -3x + 3x = 0 21 + -4x + -3y = 12 + 0 + -4y 21 + -4x + -3y = 12 + -4y Add '-21' to each side of the equation. 21 + -4x + -21 + -3y = 12 + -21 + -4y Reorder the terms: 21 + -21 + -4x + -3y = 12 + -21 + -4y Combine like terms: 21 + -21 = 0 0 + -4x + -3y = 12 + -21 + -4y -4x + -3y = 12 + -21 + -4y Combine like terms: 12 + -21 = -9 -4x + -3y = -9 + -4y Add '3y' to each side of the equation. -4x + -3y + 3y = -9 + -4y + 3y Combine like terms: -3y + 3y = 0 -4x + 0 = -9 + -4y + 3y -4x = -9 + -4y + 3y Combine like terms: -4y + 3y = -1y -4x = -9 + -1y Divide each side by '-4'. x = 2.25 + 0.25y Simplifying x = 2.25 + 0.25y
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