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Simplifying (X + 2)(x + 5) = 40 Reorder the terms: (2 + X)(x + 5) = 40 Reorder the terms: (2 + X)(5 + x) = 40 Multiply (2 + X) * (5 + x) (2(5 + x) + X(5 + x)) = 40 ((5 * 2 + x * 2) + X(5 + x)) = 40 ((10 + 2x) + X(5 + x)) = 40 (10 + 2x + (5 * X + x * X)) = 40 (10 + 2x + (5X + xX)) = 40 Reorder the terms: (10 + 5X + 2x + xX) = 40 (10 + 5X + 2x + xX) = 40 Solving 10 + 5X + 2x + xX = 40 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 + 2x + -10 + xX = 40 + -10 Reorder the terms: 10 + -10 + 5X + 2x + xX = 40 + -10 Combine like terms: 10 + -10 = 0 0 + 5X + 2x + xX = 40 + -10 5X + 2x + xX = 40 + -10 Combine like terms: 40 + -10 = 30 5X + 2x + xX = 30 Add '-2x' to each side of the equation. 5X + 2x + -2x + xX = 30 + -2x Combine like terms: 2x + -2x = 0 5X + 0 + xX = 30 + -2x 5X + xX = 30 + -2x Reorder the terms: -30 + 5X + 2x + xX = 30 + -2x + -30 + 2x Reorder the terms: -30 + 5X + 2x + xX = 30 + -30 + -2x + 2x Combine like terms: 30 + -30 = 0 -30 + 5X + 2x + xX = 0 + -2x + 2x -30 + 5X + 2x + xX = -2x + 2x Combine like terms: -2x + 2x = 0 -30 + 5X + 2x + xX = 0 The solution to this equation could not be determined.
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