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Simplifying (X + 7)(3x + -5) = 0 Reorder the terms: (7 + X)(3x + -5) = 0 Reorder the terms: (7 + X)(-5 + 3x) = 0 Multiply (7 + X) * (-5 + 3x) (7(-5 + 3x) + X(-5 + 3x)) = 0 ((-5 * 7 + 3x * 7) + X(-5 + 3x)) = 0 ((-35 + 21x) + X(-5 + 3x)) = 0 (-35 + 21x + (-5 * X + 3x * X)) = 0 (-35 + 21x + (-5X + 3xX)) = 0 Reorder the terms: (-35 + -5X + 21x + 3xX) = 0 (-35 + -5X + 21x + 3xX) = 0 Solving -35 + -5X + 21x + 3xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '35' to each side of the equation. -35 + -5X + 21x + 35 + 3xX = 0 + 35 Reorder the terms: -35 + 35 + -5X + 21x + 3xX = 0 + 35 Combine like terms: -35 + 35 = 0 0 + -5X + 21x + 3xX = 0 + 35 -5X + 21x + 3xX = 0 + 35 Combine like terms: 0 + 35 = 35 -5X + 21x + 3xX = 35 Add '-21x' to each side of the equation. -5X + 21x + -21x + 3xX = 35 + -21x Combine like terms: 21x + -21x = 0 -5X + 0 + 3xX = 35 + -21x -5X + 3xX = 35 + -21x Reorder the terms: -35 + -5X + 21x + 3xX = 35 + -21x + -35 + 21x Reorder the terms: -35 + -5X + 21x + 3xX = 35 + -35 + -21x + 21x Combine like terms: 35 + -35 = 0 -35 + -5X + 21x + 3xX = 0 + -21x + 21x -35 + -5X + 21x + 3xX = -21x + 21x Combine like terms: -21x + 21x = 0 -35 + -5X + 21x + 3xX = 0 The solution to this equation could not be determined.
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