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Simplifying (x + 1)(2y + -1) = 12 Reorder the terms: (1 + x)(2y + -1) = 12 Reorder the terms: (1 + x)(-1 + 2y) = 12 Multiply (1 + x) * (-1 + 2y) (1(-1 + 2y) + x(-1 + 2y)) = 12 ((-1 * 1 + 2y * 1) + x(-1 + 2y)) = 12 ((-1 + 2y) + x(-1 + 2y)) = 12 (-1 + 2y + (-1 * x + 2y * x)) = 12 (-1 + 2y + (-1x + 2xy)) = 12 Reorder the terms: (-1 + -1x + 2xy + 2y) = 12 (-1 + -1x + 2xy + 2y) = 12 Solving -1 + -1x + 2xy + 2y = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -1x + 2xy + 1 + 2y = 12 + 1 Reorder the terms: -1 + 1 + -1x + 2xy + 2y = 12 + 1 Combine like terms: -1 + 1 = 0 0 + -1x + 2xy + 2y = 12 + 1 -1x + 2xy + 2y = 12 + 1 Combine like terms: 12 + 1 = 13 -1x + 2xy + 2y = 13 Add '-2y' to each side of the equation. -1x + 2xy + 2y + -2y = 13 + -2y Combine like terms: 2y + -2y = 0 -1x + 2xy + 0 = 13 + -2y -1x + 2xy = 13 + -2y Reorder the terms: -13 + -1x + 2xy + 2y = 13 + -2y + -13 + 2y Reorder the terms: -13 + -1x + 2xy + 2y = 13 + -13 + -2y + 2y Combine like terms: 13 + -13 = 0 -13 + -1x + 2xy + 2y = 0 + -2y + 2y -13 + -1x + 2xy + 2y = -2y + 2y Combine like terms: -2y + 2y = 0 -13 + -1x + 2xy + 2y = 0 The solution to this equation could not be determined.
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