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