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Simplifying (x + 6)(y + -4) = (x + -6)(y + 6) Reorder the terms: (6 + x)(y + -4) = (x + -6)(y + 6) Reorder the terms: (6 + x)(-4 + y) = (x + -6)(y + 6) Multiply (6 + x) * (-4 + y) (6(-4 + y) + x(-4 + y)) = (x + -6)(y + 6) ((-4 * 6 + y * 6) + x(-4 + y)) = (x + -6)(y + 6) ((-24 + 6y) + x(-4 + y)) = (x + -6)(y + 6) (-24 + 6y + (-4 * x + y * x)) = (x + -6)(y + 6) (-24 + 6y + (-4x + xy)) = (x + -6)(y + 6) Reorder the terms: (-24 + -4x + xy + 6y) = (x + -6)(y + 6) (-24 + -4x + xy + 6y) = (x + -6)(y + 6) Reorder the terms: -24 + -4x + xy + 6y = (-6 + x)(y + 6) Reorder the terms: -24 + -4x + xy + 6y = (-6 + x)(6 + y) Multiply (-6 + x) * (6 + y) -24 + -4x + xy + 6y = (-6(6 + y) + x(6 + y)) -24 + -4x + xy + 6y = ((6 * -6 + y * -6) + x(6 + y)) -24 + -4x + xy + 6y = ((-36 + -6y) + x(6 + y)) -24 + -4x + xy + 6y = (-36 + -6y + (6 * x + y * x)) -24 + -4x + xy + 6y = (-36 + -6y + (6x + xy)) Reorder the terms: -24 + -4x + xy + 6y = (-36 + 6x + xy + -6y) -24 + -4x + xy + 6y = (-36 + 6x + xy + -6y) Add '-1xy' to each side of the equation. -24 + -4x + xy + -1xy + 6y = -36 + 6x + xy + -1xy + -6y Combine like terms: xy + -1xy = 0 -24 + -4x + 0 + 6y = -36 + 6x + xy + -1xy + -6y -24 + -4x + 6y = -36 + 6x + xy + -1xy + -6y Combine like terms: xy + -1xy = 0 -24 + -4x + 6y = -36 + 6x + 0 + -6y -24 + -4x + 6y = -36 + 6x + -6y Solving -24 + -4x + 6y = -36 + 6x + -6y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -24 + -4x + -6x + 6y = -36 + 6x + -6x + -6y Combine like terms: -4x + -6x = -10x -24 + -10x + 6y = -36 + 6x + -6x + -6y Combine like terms: 6x + -6x = 0 -24 + -10x + 6y = -36 + 0 + -6y -24 + -10x + 6y = -36 + -6y Add '24' to each side of the equation. -24 + -10x + 24 + 6y = -36 + 24 + -6y Reorder the terms: -24 + 24 + -10x + 6y = -36 + 24 + -6y Combine like terms: -24 + 24 = 0 0 + -10x + 6y = -36 + 24 + -6y -10x + 6y = -36 + 24 + -6y Combine like terms: -36 + 24 = -12 -10x + 6y = -12 + -6y Add '-6y' to each side of the equation. -10x + 6y + -6y = -12 + -6y + -6y Combine like terms: 6y + -6y = 0 -10x + 0 = -12 + -6y + -6y -10x = -12 + -6y + -6y Combine like terms: -6y + -6y = -12y -10x = -12 + -12y Divide each side by '-10'. x = 1.2 + 1.2y Simplifying x = 1.2 + 1.2y
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