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Simplifying (x + -1)(2y + -3) = 21 Reorder the terms: (-1 + x)(2y + -3) = 21 Reorder the terms: (-1 + x)(-3 + 2y) = 21 Multiply (-1 + x) * (-3 + 2y) (-1(-3 + 2y) + x(-3 + 2y)) = 21 ((-3 * -1 + 2y * -1) + x(-3 + 2y)) = 21 ((3 + -2y) + x(-3 + 2y)) = 21 (3 + -2y + (-3 * x + 2y * x)) = 21 (3 + -2y + (-3x + 2xy)) = 21 Reorder the terms: (3 + -3x + 2xy + -2y) = 21 (3 + -3x + 2xy + -2y) = 21 Solving 3 + -3x + 2xy + -2y = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3x + 2xy + -3 + -2y = 21 + -3 Reorder the terms: 3 + -3 + -3x + 2xy + -2y = 21 + -3 Combine like terms: 3 + -3 = 0 0 + -3x + 2xy + -2y = 21 + -3 -3x + 2xy + -2y = 21 + -3 Combine like terms: 21 + -3 = 18 -3x + 2xy + -2y = 18 Add '2y' to each side of the equation. -3x + 2xy + -2y + 2y = 18 + 2y Combine like terms: -2y + 2y = 0 -3x + 2xy + 0 = 18 + 2y -3x + 2xy = 18 + 2y Reorder the terms: -18 + -3x + 2xy + -2y = 18 + 2y + -18 + -2y Reorder the terms: -18 + -3x + 2xy + -2y = 18 + -18 + 2y + -2y Combine like terms: 18 + -18 = 0 -18 + -3x + 2xy + -2y = 0 + 2y + -2y -18 + -3x + 2xy + -2y = 2y + -2y Combine like terms: 2y + -2y = 0 -18 + -3x + 2xy + -2y = 0 The solution to this equation could not be determined.
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