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Simplifying (x + 5) + a(x + 5) = 0 Reorder the terms: (5 + x) + a(x + 5) = 0 Remove parenthesis around (5 + x) 5 + x + a(x + 5) = 0 Reorder the terms: 5 + x + a(5 + x) = 0 5 + x + (5 * a + x * a) = 0 5 + x + (5a + ax) = 0 Reorder the terms: 5 + 5a + ax + x = 0 Solving 5 + 5a + ax + x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 5a + ax + -5 + x = 0 + -5 Reorder the terms: 5 + -5 + 5a + ax + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 5a + ax + x = 0 + -5 5a + ax + x = 0 + -5 Combine like terms: 0 + -5 = -5 5a + ax + x = -5 Add '-1x' to each side of the equation. 5a + ax + x + -1x = -5 + -1x Combine like terms: x + -1x = 0 5a + ax + 0 = -5 + -1x 5a + ax = -5 + -1x Reorder the terms: 5 + 5a + ax + x = -5 + -1x + 5 + x Reorder the terms: 5 + 5a + ax + x = -5 + 5 + -1x + x Combine like terms: -5 + 5 = 0 5 + 5a + ax + x = 0 + -1x + x 5 + 5a + ax + x = -1x + x Combine like terms: -1x + x = 0 5 + 5a + ax + x = 0 The solution to this equation could not be determined.
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