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Simplifying (x + 2)(y + 5) = 18 Reorder the terms: (2 + x)(y + 5) = 18 Reorder the terms: (2 + x)(5 + y) = 18 Multiply (2 + x) * (5 + y) (2(5 + y) + x(5 + y)) = 18 ((5 * 2 + y * 2) + x(5 + y)) = 18 ((10 + 2y) + x(5 + y)) = 18 (10 + 2y + (5 * x + y * x)) = 18 (10 + 2y + (5x + xy)) = 18 Reorder the terms: (10 + 5x + xy + 2y) = 18 (10 + 5x + xy + 2y) = 18 Solving 10 + 5x + xy + 2y = 18 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 5x + xy + -10 + 2y = 18 + -10 Reorder the terms: 10 + -10 + 5x + xy + 2y = 18 + -10 Combine like terms: 10 + -10 = 0 0 + 5x + xy + 2y = 18 + -10 5x + xy + 2y = 18 + -10 Combine like terms: 18 + -10 = 8 5x + xy + 2y = 8 Add '-2y' to each side of the equation. 5x + xy + 2y + -2y = 8 + -2y Combine like terms: 2y + -2y = 0 5x + xy + 0 = 8 + -2y 5x + xy = 8 + -2y Reorder the terms: -8 + 5x + xy + 2y = 8 + -2y + -8 + 2y Reorder the terms: -8 + 5x + xy + 2y = 8 + -8 + -2y + 2y Combine like terms: 8 + -8 = 0 -8 + 5x + xy + 2y = 0 + -2y + 2y -8 + 5x + xy + 2y = -2y + 2y Combine like terms: -2y + 2y = 0 -8 + 5x + xy + 2y = 0 The solution to this equation could not be determined.
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