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Simplifying (X + 7)(3x + -2) = 0 Reorder the terms: (7 + X)(3x + -2) = 0 Reorder the terms: (7 + X)(-2 + 3x) = 0 Multiply (7 + X) * (-2 + 3x) (7(-2 + 3x) + X(-2 + 3x)) = 0 ((-2 * 7 + 3x * 7) + X(-2 + 3x)) = 0 ((-14 + 21x) + X(-2 + 3x)) = 0 (-14 + 21x + (-2 * X + 3x * X)) = 0 (-14 + 21x + (-2X + 3xX)) = 0 Reorder the terms: (-14 + -2X + 21x + 3xX) = 0 (-14 + -2X + 21x + 3xX) = 0 Solving -14 + -2X + 21x + 3xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '14' to each side of the equation. -14 + -2X + 21x + 14 + 3xX = 0 + 14 Reorder the terms: -14 + 14 + -2X + 21x + 3xX = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -2X + 21x + 3xX = 0 + 14 -2X + 21x + 3xX = 0 + 14 Combine like terms: 0 + 14 = 14 -2X + 21x + 3xX = 14 Add '-21x' to each side of the equation. -2X + 21x + -21x + 3xX = 14 + -21x Combine like terms: 21x + -21x = 0 -2X + 0 + 3xX = 14 + -21x -2X + 3xX = 14 + -21x Reorder the terms: -14 + -2X + 21x + 3xX = 14 + -21x + -14 + 21x Reorder the terms: -14 + -2X + 21x + 3xX = 14 + -14 + -21x + 21x Combine like terms: 14 + -14 = 0 -14 + -2X + 21x + 3xX = 0 + -21x + 21x -14 + -2X + 21x + 3xX = -21x + 21x Combine like terms: -21x + 21x = 0 -14 + -2X + 21x + 3xX = 0 The solution to this equation could not be determined.
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