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Simplifying (x + 7)(2y + 2) = 5xy Reorder the terms: (7 + x)(2y + 2) = 5xy Reorder the terms: (7 + x)(2 + 2y) = 5xy Multiply (7 + x) * (2 + 2y) (7(2 + 2y) + x(2 + 2y)) = 5xy ((2 * 7 + 2y * 7) + x(2 + 2y)) = 5xy ((14 + 14y) + x(2 + 2y)) = 5xy (14 + 14y + (2 * x + 2y * x)) = 5xy (14 + 14y + (2x + 2xy)) = 5xy Reorder the terms: (14 + 2x + 2xy + 14y) = 5xy (14 + 2x + 2xy + 14y) = 5xy Solving 14 + 2x + 2xy + 14y = 5xy Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5xy' to each side of the equation. 14 + 2x + 2xy + -5xy + 14y = 5xy + -5xy Combine like terms: 2xy + -5xy = -3xy 14 + 2x + -3xy + 14y = 5xy + -5xy Combine like terms: 5xy + -5xy = 0 14 + 2x + -3xy + 14y = 0 Add '-14' to each side of the equation. 14 + 2x + -3xy + -14 + 14y = 0 + -14 Reorder the terms: 14 + -14 + 2x + -3xy + 14y = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 2x + -3xy + 14y = 0 + -14 2x + -3xy + 14y = 0 + -14 Combine like terms: 0 + -14 = -14 2x + -3xy + 14y = -14 Add '-14y' to each side of the equation. 2x + -3xy + 14y + -14y = -14 + -14y Combine like terms: 14y + -14y = 0 2x + -3xy + 0 = -14 + -14y 2x + -3xy = -14 + -14y Reorder the terms: 14 + 2x + -3xy + 14y = -14 + -14y + 14 + 14y Reorder the terms: 14 + 2x + -3xy + 14y = -14 + 14 + -14y + 14y Combine like terms: -14 + 14 = 0 14 + 2x + -3xy + 14y = 0 + -14y + 14y 14 + 2x + -3xy + 14y = -14y + 14y Combine like terms: -14y + 14y = 0 14 + 2x + -3xy + 14y = 0 The solution to this equation could not be determined.
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