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Simplifying (x + 1)(y + 2) = 2xy Reorder the terms: (1 + x)(y + 2) = 2xy Reorder the terms: (1 + x)(2 + y) = 2xy Multiply (1 + x) * (2 + y) (1(2 + y) + x(2 + y)) = 2xy ((2 * 1 + y * 1) + x(2 + y)) = 2xy ((2 + 1y) + x(2 + y)) = 2xy (2 + 1y + (2 * x + y * x)) = 2xy (2 + 1y + (2x + xy)) = 2xy Reorder the terms: (2 + 2x + xy + 1y) = 2xy (2 + 2x + xy + 1y) = 2xy Solving 2 + 2x + xy + 1y = 2xy Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2xy' to each side of the equation. 2 + 2x + xy + -2xy + 1y = 2xy + -2xy Combine like terms: xy + -2xy = -1xy 2 + 2x + -1xy + 1y = 2xy + -2xy Combine like terms: 2xy + -2xy = 0 2 + 2x + -1xy + 1y = 0 Add '-2' to each side of the equation. 2 + 2x + -1xy + -2 + 1y = 0 + -2 Reorder the terms: 2 + -2 + 2x + -1xy + 1y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 2x + -1xy + 1y = 0 + -2 2x + -1xy + 1y = 0 + -2 Combine like terms: 0 + -2 = -2 2x + -1xy + 1y = -2 Add '-1y' to each side of the equation. 2x + -1xy + 1y + -1y = -2 + -1y Combine like terms: 1y + -1y = 0 2x + -1xy + 0 = -2 + -1y 2x + -1xy = -2 + -1y Reorder the terms: 2 + 2x + -1xy + y = -2 + -1y + 2 + y Reorder the terms: 2 + 2x + -1xy + y = -2 + 2 + -1y + y Combine like terms: -2 + 2 = 0 2 + 2x + -1xy + y = 0 + -1y + y 2 + 2x + -1xy + y = -1y + y Combine like terms: -1y + y = 0 2 + 2x + -1xy + y = 0 The solution to this equation could not be determined.
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