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Simplifying (7X + 3)(x + -7) = 0 Reorder the terms: (3 + 7X)(x + -7) = 0 Reorder the terms: (3 + 7X)(-7 + x) = 0 Multiply (3 + 7X) * (-7 + x) (3(-7 + x) + 7X * (-7 + x)) = 0 ((-7 * 3 + x * 3) + 7X * (-7 + x)) = 0 ((-21 + 3x) + 7X * (-7 + x)) = 0 (-21 + 3x + (-7 * 7X + x * 7X)) = 0 (-21 + 3x + (-49X + 7xX)) = 0 Reorder the terms: (-21 + -49X + 3x + 7xX) = 0 (-21 + -49X + 3x + 7xX) = 0 Solving -21 + -49X + 3x + 7xX = 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 + -49X + 3x + 21 + 7xX = 0 + 21 Reorder the terms: -21 + 21 + -49X + 3x + 7xX = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -49X + 3x + 7xX = 0 + 21 -49X + 3x + 7xX = 0 + 21 Combine like terms: 0 + 21 = 21 -49X + 3x + 7xX = 21 Add '-3x' to each side of the equation. -49X + 3x + -3x + 7xX = 21 + -3x Combine like terms: 3x + -3x = 0 -49X + 0 + 7xX = 21 + -3x -49X + 7xX = 21 + -3x Reorder the terms: -21 + -49X + 3x + 7xX = 21 + -3x + -21 + 3x Reorder the terms: -21 + -49X + 3x + 7xX = 21 + -21 + -3x + 3x Combine like terms: 21 + -21 = 0 -21 + -49X + 3x + 7xX = 0 + -3x + 3x -21 + -49X + 3x + 7xX = -3x + 3x Combine like terms: -3x + 3x = 0 -21 + -49X + 3x + 7xX = 0 The solution to this equation could not be determined.
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