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Simplifying 3x(a + -3) + -5(3 + -1a) = 0 Reorder the terms: 3x(-3 + a) + -5(3 + -1a) = 0 (-3 * 3x + a * 3x) + -5(3 + -1a) = 0 Reorder the terms: (3ax + -9x) + -5(3 + -1a) = 0 (3ax + -9x) + -5(3 + -1a) = 0 3ax + -9x + (3 * -5 + -1a * -5) = 0 3ax + -9x + (-15 + 5a) = 0 Reorder the terms: -15 + 5a + 3ax + -9x = 0 Solving -15 + 5a + 3ax + -9x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 5a + 3ax + 15 + -9x = 0 + 15 Reorder the terms: -15 + 15 + 5a + 3ax + -9x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 5a + 3ax + -9x = 0 + 15 5a + 3ax + -9x = 0 + 15 Combine like terms: 0 + 15 = 15 5a + 3ax + -9x = 15 Add '9x' to each side of the equation. 5a + 3ax + -9x + 9x = 15 + 9x Combine like terms: -9x + 9x = 0 5a + 3ax + 0 = 15 + 9x 5a + 3ax = 15 + 9x Reorder the terms: -15 + 5a + 3ax + -9x = 15 + 9x + -15 + -9x Reorder the terms: -15 + 5a + 3ax + -9x = 15 + -15 + 9x + -9x Combine like terms: 15 + -15 = 0 -15 + 5a + 3ax + -9x = 0 + 9x + -9x -15 + 5a + 3ax + -9x = 9x + -9x Combine like terms: 9x + -9x = 0 -15 + 5a + 3ax + -9x = 0 The solution to this equation could not be determined.
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