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Simplifying (x + -6)(y + -3) = x * y + -126 Reorder the terms: (-6 + x)(y + -3) = x * y + -126 Reorder the terms: (-6 + x)(-3 + y) = x * y + -126 Multiply (-6 + x) * (-3 + y) (-6(-3 + y) + x(-3 + y)) = x * y + -126 ((-3 * -6 + y * -6) + x(-3 + y)) = x * y + -126 ((18 + -6y) + x(-3 + y)) = x * y + -126 (18 + -6y + (-3 * x + y * x)) = x * y + -126 (18 + -6y + (-3x + xy)) = x * y + -126 Reorder the terms: (18 + -3x + xy + -6y) = x * y + -126 (18 + -3x + xy + -6y) = x * y + -126 Multiply x * y 18 + -3x + xy + -6y = xy + -126 Reorder the terms: 18 + -3x + xy + -6y = -126 + xy Add '-1xy' to each side of the equation. 18 + -3x + xy + -1xy + -6y = -126 + xy + -1xy Combine like terms: xy + -1xy = 0 18 + -3x + 0 + -6y = -126 + xy + -1xy 18 + -3x + -6y = -126 + xy + -1xy Combine like terms: xy + -1xy = 0 18 + -3x + -6y = -126 + 0 18 + -3x + -6y = -126 Solving 18 + -3x + -6y = -126 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -3x + -18 + -6y = -126 + -18 Reorder the terms: 18 + -18 + -3x + -6y = -126 + -18 Combine like terms: 18 + -18 = 0 0 + -3x + -6y = -126 + -18 -3x + -6y = -126 + -18 Combine like terms: -126 + -18 = -144 -3x + -6y = -144 Add '6y' to each side of the equation. -3x + -6y + 6y = -144 + 6y Combine like terms: -6y + 6y = 0 -3x + 0 = -144 + 6y -3x = -144 + 6y Divide each side by '-3'. x = 48 + -2y Simplifying x = 48 + -2y
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