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Simplifying 2(x + 3) + 7a(x + 3) = 0 Reorder the terms: 2(3 + x) + 7a(x + 3) = 0 (3 * 2 + x * 2) + 7a(x + 3) = 0 (6 + 2x) + 7a(x + 3) = 0 Reorder the terms: 6 + 2x + 7a(3 + x) = 0 6 + 2x + (3 * 7a + x * 7a) = 0 6 + 2x + (21a + 7ax) = 0 Reorder the terms: 6 + 21a + 7ax + 2x = 0 Solving 6 + 21a + 7ax + 2x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 21a + 7ax + -6 + 2x = 0 + -6 Reorder the terms: 6 + -6 + 21a + 7ax + 2x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 21a + 7ax + 2x = 0 + -6 21a + 7ax + 2x = 0 + -6 Combine like terms: 0 + -6 = -6 21a + 7ax + 2x = -6 Add '-2x' to each side of the equation. 21a + 7ax + 2x + -2x = -6 + -2x Combine like terms: 2x + -2x = 0 21a + 7ax + 0 = -6 + -2x 21a + 7ax = -6 + -2x Reorder the terms: 6 + 21a + 7ax + 2x = -6 + -2x + 6 + 2x Reorder the terms: 6 + 21a + 7ax + 2x = -6 + 6 + -2x + 2x Combine like terms: -6 + 6 = 0 6 + 21a + 7ax + 2x = 0 + -2x + 2x 6 + 21a + 7ax + 2x = -2x + 2x Combine like terms: -2x + 2x = 0 6 + 21a + 7ax + 2x = 0 The solution to this equation could not be determined.
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