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