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Simplifying (x + 5)(y + 2) = 180 Reorder the terms: (5 + x)(y + 2) = 180 Reorder the terms: (5 + x)(2 + y) = 180 Multiply (5 + x) * (2 + y) (5(2 + y) + x(2 + y)) = 180 ((2 * 5 + y * 5) + x(2 + y)) = 180 ((10 + 5y) + x(2 + y)) = 180 (10 + 5y + (2 * x + y * x)) = 180 (10 + 5y + (2x + xy)) = 180 Reorder the terms: (10 + 2x + xy + 5y) = 180 (10 + 2x + xy + 5y) = 180 Solving 10 + 2x + xy + 5y = 180 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 + 2x + xy + -10 + 5y = 180 + -10 Reorder the terms: 10 + -10 + 2x + xy + 5y = 180 + -10 Combine like terms: 10 + -10 = 0 0 + 2x + xy + 5y = 180 + -10 2x + xy + 5y = 180 + -10 Combine like terms: 180 + -10 = 170 2x + xy + 5y = 170 Add '-5y' to each side of the equation. 2x + xy + 5y + -5y = 170 + -5y Combine like terms: 5y + -5y = 0 2x + xy + 0 = 170 + -5y 2x + xy = 170 + -5y Reorder the terms: -170 + 2x + xy + 5y = 170 + -5y + -170 + 5y Reorder the terms: -170 + 2x + xy + 5y = 170 + -170 + -5y + 5y Combine like terms: 170 + -170 = 0 -170 + 2x + xy + 5y = 0 + -5y + 5y -170 + 2x + xy + 5y = -5y + 5y Combine like terms: -5y + 5y = 0 -170 + 2x + xy + 5y = 0 The solution to this equation could not be determined.
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