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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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