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