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