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Simplifying 5x(a + -9) + -4(9 + -1a) = 0 Reorder the terms: 5x(-9 + a) + -4(9 + -1a) = 0 (-9 * 5x + a * 5x) + -4(9 + -1a) = 0 Reorder the terms: (5ax + -45x) + -4(9 + -1a) = 0 (5ax + -45x) + -4(9 + -1a) = 0 5ax + -45x + (9 * -4 + -1a * -4) = 0 5ax + -45x + (-36 + 4a) = 0 Reorder the terms: -36 + 4a + 5ax + -45x = 0 Solving -36 + 4a + 5ax + -45x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 4a + 5ax + 36 + -45x = 0 + 36 Reorder the terms: -36 + 36 + 4a + 5ax + -45x = 0 + 36 Combine like terms: -36 + 36 = 0 0 + 4a + 5ax + -45x = 0 + 36 4a + 5ax + -45x = 0 + 36 Combine like terms: 0 + 36 = 36 4a + 5ax + -45x = 36 Add '45x' to each side of the equation. 4a + 5ax + -45x + 45x = 36 + 45x Combine like terms: -45x + 45x = 0 4a + 5ax + 0 = 36 + 45x 4a + 5ax = 36 + 45x Reorder the terms: -36 + 4a + 5ax + -45x = 36 + 45x + -36 + -45x Reorder the terms: -36 + 4a + 5ax + -45x = 36 + -36 + 45x + -45x Combine like terms: 36 + -36 = 0 -36 + 4a + 5ax + -45x = 0 + 45x + -45x -36 + 4a + 5ax + -45x = 45x + -45x Combine like terms: 45x + -45x = 0 -36 + 4a + 5ax + -45x = 0 The solution to this equation could not be determined.
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