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Simplifying (X + 12)(2x + 5) = 0 Reorder the terms: (12 + X)(2x + 5) = 0 Reorder the terms: (12 + X)(5 + 2x) = 0 Multiply (12 + X) * (5 + 2x) (12(5 + 2x) + X(5 + 2x)) = 0 ((5 * 12 + 2x * 12) + X(5 + 2x)) = 0 ((60 + 24x) + X(5 + 2x)) = 0 (60 + 24x + (5 * X + 2x * X)) = 0 (60 + 24x + (5X + 2xX)) = 0 Reorder the terms: (60 + 5X + 24x + 2xX) = 0 (60 + 5X + 24x + 2xX) = 0 Solving 60 + 5X + 24x + 2xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-60' to each side of the equation. 60 + 5X + 24x + -60 + 2xX = 0 + -60 Reorder the terms: 60 + -60 + 5X + 24x + 2xX = 0 + -60 Combine like terms: 60 + -60 = 0 0 + 5X + 24x + 2xX = 0 + -60 5X + 24x + 2xX = 0 + -60 Combine like terms: 0 + -60 = -60 5X + 24x + 2xX = -60 Add '-24x' to each side of the equation. 5X + 24x + -24x + 2xX = -60 + -24x Combine like terms: 24x + -24x = 0 5X + 0 + 2xX = -60 + -24x 5X + 2xX = -60 + -24x Reorder the terms: 60 + 5X + 24x + 2xX = -60 + -24x + 60 + 24x Reorder the terms: 60 + 5X + 24x + 2xX = -60 + 60 + -24x + 24x Combine like terms: -60 + 60 = 0 60 + 5X + 24x + 2xX = 0 + -24x + 24x 60 + 5X + 24x + 2xX = -24x + 24x Combine like terms: -24x + 24x = 0 60 + 5X + 24x + 2xX = 0 The solution to this equation could not be determined.
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