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Simplifying (4a + -7)(3x + 2) = 0 Reorder the terms: (-7 + 4a)(3x + 2) = 0 Reorder the terms: (-7 + 4a)(2 + 3x) = 0 Multiply (-7 + 4a) * (2 + 3x) (-7(2 + 3x) + 4a * (2 + 3x)) = 0 ((2 * -7 + 3x * -7) + 4a * (2 + 3x)) = 0 ((-14 + -21x) + 4a * (2 + 3x)) = 0 (-14 + -21x + (2 * 4a + 3x * 4a)) = 0 (-14 + -21x + (8a + 12ax)) = 0 Reorder the terms: (-14 + 8a + 12ax + -21x) = 0 (-14 + 8a + 12ax + -21x) = 0 Solving -14 + 8a + 12ax + -21x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 8a + 12ax + 14 + -21x = 0 + 14 Reorder the terms: -14 + 14 + 8a + 12ax + -21x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 8a + 12ax + -21x = 0 + 14 8a + 12ax + -21x = 0 + 14 Combine like terms: 0 + 14 = 14 8a + 12ax + -21x = 14 Add '21x' to each side of the equation. 8a + 12ax + -21x + 21x = 14 + 21x Combine like terms: -21x + 21x = 0 8a + 12ax + 0 = 14 + 21x 8a + 12ax = 14 + 21x Reorder the terms: -14 + 8a + 12ax + -21x = 14 + 21x + -14 + -21x Reorder the terms: -14 + 8a + 12ax + -21x = 14 + -14 + 21x + -21x Combine like terms: 14 + -14 = 0 -14 + 8a + 12ax + -21x = 0 + 21x + -21x -14 + 8a + 12ax + -21x = 21x + -21x Combine like terms: 21x + -21x = 0 -14 + 8a + 12ax + -21x = 0 The solution to this equation could not be determined.
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