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Simplifying 11(x + 7) + 3a(x + 7) = 0 Reorder the terms: 11(7 + x) + 3a(x + 7) = 0 (7 * 11 + x * 11) + 3a(x + 7) = 0 (77 + 11x) + 3a(x + 7) = 0 Reorder the terms: 77 + 11x + 3a(7 + x) = 0 77 + 11x + (7 * 3a + x * 3a) = 0 77 + 11x + (21a + 3ax) = 0 Reorder the terms: 77 + 21a + 3ax + 11x = 0 Solving 77 + 21a + 3ax + 11x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-77' to each side of the equation. 77 + 21a + 3ax + -77 + 11x = 0 + -77 Reorder the terms: 77 + -77 + 21a + 3ax + 11x = 0 + -77 Combine like terms: 77 + -77 = 0 0 + 21a + 3ax + 11x = 0 + -77 21a + 3ax + 11x = 0 + -77 Combine like terms: 0 + -77 = -77 21a + 3ax + 11x = -77 Add '-11x' to each side of the equation. 21a + 3ax + 11x + -11x = -77 + -11x Combine like terms: 11x + -11x = 0 21a + 3ax + 0 = -77 + -11x 21a + 3ax = -77 + -11x Reorder the terms: 77 + 21a + 3ax + 11x = -77 + -11x + 77 + 11x Reorder the terms: 77 + 21a + 3ax + 11x = -77 + 77 + -11x + 11x Combine like terms: -77 + 77 = 0 77 + 21a + 3ax + 11x = 0 + -11x + 11x 77 + 21a + 3ax + 11x = -11x + 11x Combine like terms: -11x + 11x = 0 77 + 21a + 3ax + 11x = 0 The solution to this equation could not be determined.
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