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Simplifying (x + 5)(y + 6) = xy Reorder the terms: (5 + x)(y + 6) = xy Reorder the terms: (5 + x)(6 + y) = xy Multiply (5 + x) * (6 + y) (5(6 + y) + x(6 + y)) = xy ((6 * 5 + y * 5) + x(6 + y)) = xy ((30 + 5y) + x(6 + y)) = xy (30 + 5y + (6 * x + y * x)) = xy (30 + 5y + (6x + xy)) = xy Reorder the terms: (30 + 6x + xy + 5y) = xy (30 + 6x + xy + 5y) = xy Add '-1xy' to each side of the equation. 30 + 6x + xy + -1xy + 5y = xy + -1xy Combine like terms: xy + -1xy = 0 30 + 6x + 0 + 5y = xy + -1xy 30 + 6x + 5y = xy + -1xy Combine like terms: xy + -1xy = 0 30 + 6x + 5y = 0 Solving 30 + 6x + 5y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + 6x + -30 + 5y = 0 + -30 Reorder the terms: 30 + -30 + 6x + 5y = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 6x + 5y = 0 + -30 6x + 5y = 0 + -30 Combine like terms: 0 + -30 = -30 6x + 5y = -30 Add '-5y' to each side of the equation. 6x + 5y + -5y = -30 + -5y Combine like terms: 5y + -5y = 0 6x + 0 = -30 + -5y 6x = -30 + -5y Divide each side by '6'. x = -5 + -0.8333333333y Simplifying x = -5 + -0.8333333333y
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