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Simplifying (X + y)(x + y) + x = 52 Multiply (X + y) * (x + y) (X(x + y) + y(x + y)) + x = 52 ((x * X + y * X) + y(x + y)) + x = 52 ((xX + yX) + y(x + y)) + x = 52 (xX + yX + (x * y + y * y)) + x = 52 (xX + yX + (xy + y2)) + x = 52 Reorder the terms: (xX + xy + yX + y2) + x = 52 (xX + xy + yX + y2) + x = 52 Reorder the terms: x + xX + xy + yX + y2 = 52 Solving x + xX + xy + yX + y2 = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1yX' to each side of the equation. x + xX + xy + yX + -1yX + y2 = 52 + -1yX Combine like terms: yX + -1yX = 0 x + xX + xy + 0 + y2 = 52 + -1yX x + xX + xy + y2 = 52 + -1yX Add '-1y2' to each side of the equation. x + xX + xy + y2 + -1y2 = 52 + -1yX + -1y2 Combine like terms: y2 + -1y2 = 0 x + xX + xy + 0 = 52 + -1yX + -1y2 x + xX + xy = 52 + -1yX + -1y2 Reorder the terms: -52 + x + xX + xy + yX + y2 = 52 + -1yX + -1y2 + -52 + yX + y2 Reorder the terms: -52 + x + xX + xy + yX + y2 = 52 + -52 + -1yX + yX + -1y2 + y2 Combine like terms: 52 + -52 = 0 -52 + x + xX + xy + yX + y2 = 0 + -1yX + yX + -1y2 + y2 -52 + x + xX + xy + yX + y2 = -1yX + yX + -1y2 + y2 Combine like terms: -1yX + yX = 0 -52 + x + xX + xy + yX + y2 = 0 + -1y2 + y2 -52 + x + xX + xy + yX + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 -52 + x + xX + xy + yX + y2 = 0 The solution to this equation could not be determined.
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