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Simplifying (X + 10)(5x + 12) = 0 Reorder the terms: (10 + X)(5x + 12) = 0 Reorder the terms: (10 + X)(12 + 5x) = 0 Multiply (10 + X) * (12 + 5x) (10(12 + 5x) + X(12 + 5x)) = 0 ((12 * 10 + 5x * 10) + X(12 + 5x)) = 0 ((120 + 50x) + X(12 + 5x)) = 0 (120 + 50x + (12 * X + 5x * X)) = 0 (120 + 50x + (12X + 5xX)) = 0 Reorder the terms: (120 + 12X + 50x + 5xX) = 0 (120 + 12X + 50x + 5xX) = 0 Solving 120 + 12X + 50x + 5xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-120' to each side of the equation. 120 + 12X + 50x + -120 + 5xX = 0 + -120 Reorder the terms: 120 + -120 + 12X + 50x + 5xX = 0 + -120 Combine like terms: 120 + -120 = 0 0 + 12X + 50x + 5xX = 0 + -120 12X + 50x + 5xX = 0 + -120 Combine like terms: 0 + -120 = -120 12X + 50x + 5xX = -120 Add '-50x' to each side of the equation. 12X + 50x + -50x + 5xX = -120 + -50x Combine like terms: 50x + -50x = 0 12X + 0 + 5xX = -120 + -50x 12X + 5xX = -120 + -50x Reorder the terms: 120 + 12X + 50x + 5xX = -120 + -50x + 120 + 50x Reorder the terms: 120 + 12X + 50x + 5xX = -120 + 120 + -50x + 50x Combine like terms: -120 + 120 = 0 120 + 12X + 50x + 5xX = 0 + -50x + 50x 120 + 12X + 50x + 5xX = -50x + 50x Combine like terms: -50x + 50x = 0 120 + 12X + 50x + 5xX = 0 The solution to this equation could not be determined.
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