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Simplifying 5(x + 9) + a(x + 9) = 0 Reorder the terms: 5(9 + x) + a(x + 9) = 0 (9 * 5 + x * 5) + a(x + 9) = 0 (45 + 5x) + a(x + 9) = 0 Reorder the terms: 45 + 5x + a(9 + x) = 0 45 + 5x + (9 * a + x * a) = 0 45 + 5x + (9a + ax) = 0 Reorder the terms: 45 + 9a + ax + 5x = 0 Solving 45 + 9a + ax + 5x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + 9a + ax + -45 + 5x = 0 + -45 Reorder the terms: 45 + -45 + 9a + ax + 5x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 9a + ax + 5x = 0 + -45 9a + ax + 5x = 0 + -45 Combine like terms: 0 + -45 = -45 9a + ax + 5x = -45 Add '-5x' to each side of the equation. 9a + ax + 5x + -5x = -45 + -5x Combine like terms: 5x + -5x = 0 9a + ax + 0 = -45 + -5x 9a + ax = -45 + -5x Reorder the terms: 45 + 9a + ax + 5x = -45 + -5x + 45 + 5x Reorder the terms: 45 + 9a + ax + 5x = -45 + 45 + -5x + 5x Combine like terms: -45 + 45 = 0 45 + 9a + ax + 5x = 0 + -5x + 5x 45 + 9a + ax + 5x = -5x + 5x Combine like terms: -5x + 5x = 0 45 + 9a + ax + 5x = 0 The solution to this equation could not be determined.
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