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Simplifying 3x(a + -1b) + -2(a + -1b) = 0 (a * 3x + -1b * 3x) + -2(a + -1b) = 0 (3ax + -3bx) + -2(a + -1b) = 0 3ax + -3bx + (a * -2 + -1b * -2) = 0 3ax + -3bx + (-2a + 2b) = 0 Reorder the terms: -2a + 3ax + 2b + -3bx = 0 Solving -2a + 3ax + 2b + -3bx = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2b' to each side of the equation. -2a + 3ax + 2b + -2b + -3bx = 0 + -2b Combine like terms: 2b + -2b = 0 -2a + 3ax + 0 + -3bx = 0 + -2b -2a + 3ax + -3bx = 0 + -2b Remove the zero: -2a + 3ax + -3bx = -2b Add '3bx' to each side of the equation. -2a + 3ax + -3bx + 3bx = -2b + 3bx Combine like terms: -3bx + 3bx = 0 -2a + 3ax + 0 = -2b + 3bx -2a + 3ax = -2b + 3bx Reorder the terms: -2a + 3ax + 2b + -3bx = -2b + 2b + 3bx + -3bx Combine like terms: -2b + 2b = 0 -2a + 3ax + 2b + -3bx = 0 + 3bx + -3bx -2a + 3ax + 2b + -3bx = 3bx + -3bx Combine like terms: 3bx + -3bx = 0 -2a + 3ax + 2b + -3bx = 0 The solution to this equation could not be determined.
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