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Simplifying a(x + 12) + 15(x + 12) = 0 Reorder the terms: a(12 + x) + 15(x + 12) = 0 (12 * a + x * a) + 15(x + 12) = 0 (12a + ax) + 15(x + 12) = 0 Reorder the terms: 12a + ax + 15(12 + x) = 0 12a + ax + (12 * 15 + x * 15) = 0 12a + ax + (180 + 15x) = 0 Reorder the terms: 180 + 12a + ax + 15x = 0 Solving 180 + 12a + ax + 15x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-180' to each side of the equation. 180 + 12a + ax + -180 + 15x = 0 + -180 Reorder the terms: 180 + -180 + 12a + ax + 15x = 0 + -180 Combine like terms: 180 + -180 = 0 0 + 12a + ax + 15x = 0 + -180 12a + ax + 15x = 0 + -180 Combine like terms: 0 + -180 = -180 12a + ax + 15x = -180 Add '-15x' to each side of the equation. 12a + ax + 15x + -15x = -180 + -15x Combine like terms: 15x + -15x = 0 12a + ax + 0 = -180 + -15x 12a + ax = -180 + -15x Reorder the terms: 180 + 12a + ax + 15x = -180 + -15x + 180 + 15x Reorder the terms: 180 + 12a + ax + 15x = -180 + 180 + -15x + 15x Combine like terms: -180 + 180 = 0 180 + 12a + ax + 15x = 0 + -15x + 15x 180 + 12a + ax + 15x = -15x + 15x Combine like terms: -15x + 15x = 0 180 + 12a + ax + 15x = 0 The solution to this equation could not be determined.
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