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