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Simplifying (X + 5)(7x + -12) = 0 Reorder the terms: (5 + X)(7x + -12) = 0 Reorder the terms: (5 + X)(-12 + 7x) = 0 Multiply (5 + X) * (-12 + 7x) (5(-12 + 7x) + X(-12 + 7x)) = 0 ((-12 * 5 + 7x * 5) + X(-12 + 7x)) = 0 ((-60 + 35x) + X(-12 + 7x)) = 0 (-60 + 35x + (-12 * X + 7x * X)) = 0 (-60 + 35x + (-12X + 7xX)) = 0 Reorder the terms: (-60 + -12X + 35x + 7xX) = 0 (-60 + -12X + 35x + 7xX) = 0 Solving -60 + -12X + 35x + 7xX = 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 + -12X + 35x + 60 + 7xX = 0 + 60 Reorder the terms: -60 + 60 + -12X + 35x + 7xX = 0 + 60 Combine like terms: -60 + 60 = 0 0 + -12X + 35x + 7xX = 0 + 60 -12X + 35x + 7xX = 0 + 60 Combine like terms: 0 + 60 = 60 -12X + 35x + 7xX = 60 Add '-35x' to each side of the equation. -12X + 35x + -35x + 7xX = 60 + -35x Combine like terms: 35x + -35x = 0 -12X + 0 + 7xX = 60 + -35x -12X + 7xX = 60 + -35x Reorder the terms: -60 + -12X + 35x + 7xX = 60 + -35x + -60 + 35x Reorder the terms: -60 + -12X + 35x + 7xX = 60 + -60 + -35x + 35x Combine like terms: 60 + -60 = 0 -60 + -12X + 35x + 7xX = 0 + -35x + 35x -60 + -12X + 35x + 7xX = -35x + 35x Combine like terms: -35x + 35x = 0 -60 + -12X + 35x + 7xX = 0 The solution to this equation could not be determined.
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