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Simplifying 4(x + 1) + 7a(x + 1) = 0 Reorder the terms: 4(1 + x) + 7a(x + 1) = 0 (1 * 4 + x * 4) + 7a(x + 1) = 0 (4 + 4x) + 7a(x + 1) = 0 Reorder the terms: 4 + 4x + 7a(1 + x) = 0 4 + 4x + (1 * 7a + x * 7a) = 0 4 + 4x + (7a + 7ax) = 0 Reorder the terms: 4 + 7a + 7ax + 4x = 0 Solving 4 + 7a + 7ax + 4x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 7a + 7ax + -4 + 4x = 0 + -4 Reorder the terms: 4 + -4 + 7a + 7ax + 4x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7a + 7ax + 4x = 0 + -4 7a + 7ax + 4x = 0 + -4 Combine like terms: 0 + -4 = -4 7a + 7ax + 4x = -4 Add '-4x' to each side of the equation. 7a + 7ax + 4x + -4x = -4 + -4x Combine like terms: 4x + -4x = 0 7a + 7ax + 0 = -4 + -4x 7a + 7ax = -4 + -4x Reorder the terms: 4 + 7a + 7ax + 4x = -4 + -4x + 4 + 4x Reorder the terms: 4 + 7a + 7ax + 4x = -4 + 4 + -4x + 4x Combine like terms: -4 + 4 = 0 4 + 7a + 7ax + 4x = 0 + -4x + 4x 4 + 7a + 7ax + 4x = -4x + 4x Combine like terms: -4x + 4x = 0 4 + 7a + 7ax + 4x = 0 The solution to this equation could not be determined.
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