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Simplifying 2(x + 6) + 7a(x + 6) = 0 Reorder the terms: 2(6 + x) + 7a(x + 6) = 0 (6 * 2 + x * 2) + 7a(x + 6) = 0 (12 + 2x) + 7a(x + 6) = 0 Reorder the terms: 12 + 2x + 7a(6 + x) = 0 12 + 2x + (6 * 7a + x * 7a) = 0 12 + 2x + (42a + 7ax) = 0 Reorder the terms: 12 + 42a + 7ax + 2x = 0 Solving 12 + 42a + 7ax + 2x = 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 + 42a + 7ax + -12 + 2x = 0 + -12 Reorder the terms: 12 + -12 + 42a + 7ax + 2x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 42a + 7ax + 2x = 0 + -12 42a + 7ax + 2x = 0 + -12 Combine like terms: 0 + -12 = -12 42a + 7ax + 2x = -12 Add '-2x' to each side of the equation. 42a + 7ax + 2x + -2x = -12 + -2x Combine like terms: 2x + -2x = 0 42a + 7ax + 0 = -12 + -2x 42a + 7ax = -12 + -2x Reorder the terms: 12 + 42a + 7ax + 2x = -12 + -2x + 12 + 2x Reorder the terms: 12 + 42a + 7ax + 2x = -12 + 12 + -2x + 2x Combine like terms: -12 + 12 = 0 12 + 42a + 7ax + 2x = 0 + -2x + 2x 12 + 42a + 7ax + 2x = -2x + 2x Combine like terms: -2x + 2x = 0 12 + 42a + 7ax + 2x = 0 The solution to this equation could not be determined.
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