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Simplifying 8(x + 1) + 3a(x + 1) = 0 Reorder the terms: 8(1 + x) + 3a(x + 1) = 0 (1 * 8 + x * 8) + 3a(x + 1) = 0 (8 + 8x) + 3a(x + 1) = 0 Reorder the terms: 8 + 8x + 3a(1 + x) = 0 8 + 8x + (1 * 3a + x * 3a) = 0 8 + 8x + (3a + 3ax) = 0 Reorder the terms: 8 + 3a + 3ax + 8x = 0 Solving 8 + 3a + 3ax + 8x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 3a + 3ax + -8 + 8x = 0 + -8 Reorder the terms: 8 + -8 + 3a + 3ax + 8x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3a + 3ax + 8x = 0 + -8 3a + 3ax + 8x = 0 + -8 Combine like terms: 0 + -8 = -8 3a + 3ax + 8x = -8 Add '-8x' to each side of the equation. 3a + 3ax + 8x + -8x = -8 + -8x Combine like terms: 8x + -8x = 0 3a + 3ax + 0 = -8 + -8x 3a + 3ax = -8 + -8x Reorder the terms: 8 + 3a + 3ax + 8x = -8 + -8x + 8 + 8x Reorder the terms: 8 + 3a + 3ax + 8x = -8 + 8 + -8x + 8x Combine like terms: -8 + 8 = 0 8 + 3a + 3ax + 8x = 0 + -8x + 8x 8 + 3a + 3ax + 8x = -8x + 8x Combine like terms: -8x + 8x = 0 8 + 3a + 3ax + 8x = 0 The solution to this equation could not be determined.
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