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Simplifying 3x(a + -2b) + a(2 + -1b) = 2x + 2ax + x(a + -6b) (a * 3x + -2b * 3x) + a(2 + -1b) = 2x + 2ax + x(a + -6b) (3ax + -6bx) + a(2 + -1b) = 2x + 2ax + x(a + -6b) 3ax + -6bx + (2 * a + -1b * a) = 2x + 2ax + x(a + -6b) 3ax + -6bx + (2a + -1ab) = 2x + 2ax + x(a + -6b) Reorder the terms: 2a + -1ab + 3ax + -6bx = 2x + 2ax + x(a + -6b) 2a + -1ab + 3ax + -6bx = 2x + 2ax + (a * x + -6b * x) 2a + -1ab + 3ax + -6bx = 2x + 2ax + (ax + -6bx) Reorder the terms: 2a + -1ab + 3ax + -6bx = 2ax + ax + -6bx + 2x Combine like terms: 2ax + ax = 3ax 2a + -1ab + 3ax + -6bx = 3ax + -6bx + 2x Add '-3ax' to each side of the equation. 2a + -1ab + 3ax + -3ax + -6bx = 3ax + -6bx + -3ax + 2x Combine like terms: 3ax + -3ax = 0 2a + -1ab + 0 + -6bx = 3ax + -6bx + -3ax + 2x 2a + -1ab + -6bx = 3ax + -6bx + -3ax + 2x Reorder the terms: 2a + -1ab + -6bx = 3ax + -3ax + -6bx + 2x Combine like terms: 3ax + -3ax = 0 2a + -1ab + -6bx = 0 + -6bx + 2x 2a + -1ab + -6bx = -6bx + 2x Add '6bx' to each side of the equation. 2a + -1ab + -6bx + 6bx = -6bx + 6bx + 2x Combine like terms: -6bx + 6bx = 0 2a + -1ab + 0 = -6bx + 6bx + 2x 2a + -1ab = -6bx + 6bx + 2x Combine like terms: -6bx + 6bx = 0 2a + -1ab = 0 + 2x 2a + -1ab = 2x Solving 2a + -1ab = 2x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Combine like terms: 2x + -2x = 0 2a + -1ab + -2x = 0 The solution to this equation could not be determined.
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