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Simplifying x(2a + -6b) = 3a + -9b (2a * x + -6b * x) = 3a + -9b (2ax + -6bx) = 3a + -9b Solving 2ax + -6bx = 3a + -9b 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. 2ax + -3a + -6bx = 3a + -3a + -9b Reorder the terms: -3a + 2ax + -6bx = 3a + -3a + -9b Combine like terms: 3a + -3a = 0 -3a + 2ax + -6bx = 0 + -9b -3a + 2ax + -6bx = -9b Add '6bx' to each side of the equation. -3a + 2ax + -6bx + 6bx = -9b + 6bx Combine like terms: -6bx + 6bx = 0 -3a + 2ax + 0 = -9b + 6bx -3a + 2ax = -9b + 6bx Reorder the terms: -3a + 2ax + 9b + -6bx = -9b + 9b + 6bx + -6bx Combine like terms: -9b + 9b = 0 -3a + 2ax + 9b + -6bx = 0 + 6bx + -6bx -3a + 2ax + 9b + -6bx = 6bx + -6bx Combine like terms: 6bx + -6bx = 0 -3a + 2ax + 9b + -6bx = 0 The solution to this equation could not be determined.
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