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Simplifying (12 + -5x)(a + 1) = 0 Reorder the terms: (12 + -5x)(1 + a) = 0 Multiply (12 + -5x) * (1 + a) (12(1 + a) + -5x * (1 + a)) = 0 ((1 * 12 + a * 12) + -5x * (1 + a)) = 0 ((12 + 12a) + -5x * (1 + a)) = 0 (12 + 12a + (1 * -5x + a * -5x)) = 0 Reorder the terms: (12 + 12a + (-5ax + -5x)) = 0 (12 + 12a + (-5ax + -5x)) = 0 (12 + 12a + -5ax + -5x) = 0 Solving 12 + 12a + -5ax + -5x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 12a + -5ax + -12 + -5x = 0 + -12 Reorder the terms: 12 + -12 + 12a + -5ax + -5x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 12a + -5ax + -5x = 0 + -12 12a + -5ax + -5x = 0 + -12 Combine like terms: 0 + -12 = -12 12a + -5ax + -5x = -12 Add '5x' to each side of the equation. 12a + -5ax + -5x + 5x = -12 + 5x Combine like terms: -5x + 5x = 0 12a + -5ax + 0 = -12 + 5x 12a + -5ax = -12 + 5x Reorder the terms: 12 + 12a + -5ax + -5x = -12 + 5x + 12 + -5x Reorder the terms: 12 + 12a + -5ax + -5x = -12 + 12 + 5x + -5x Combine like terms: -12 + 12 = 0 12 + 12a + -5ax + -5x = 0 + 5x + -5x 12 + 12a + -5ax + -5x = 5x + -5x Combine like terms: 5x + -5x = 0 12 + 12a + -5ax + -5x = 0 The solution to this equation could not be determined.
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