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Simplifying 2b(2a + -1x) = (b + -1a) + a(x + b) (2a * 2b + -1x * 2b) = (b + -1a) + a(x + b) (4ab + -2bx) = (b + -1a) + a(x + b) Reorder the terms: 4ab + -2bx = (-1a + b) + a(x + b) Remove parenthesis around (-1a + b) 4ab + -2bx = -1a + b + a(x + b) Reorder the terms: 4ab + -2bx = -1a + b + a(b + x) 4ab + -2bx = -1a + b + (b * a + x * a) 4ab + -2bx = -1a + b + (ab + ax) Reorder the terms: 4ab + -2bx = -1a + ab + ax + b Solving 4ab + -2bx = -1a + ab + ax + b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 4ab + a + -2bx = -1a + ab + ax + a + b Reorder the terms: a + 4ab + -2bx = -1a + ab + ax + a + b Reorder the terms: a + 4ab + -2bx = -1a + a + ab + ax + b Combine like terms: -1a + a = 0 a + 4ab + -2bx = 0 + ab + ax + b a + 4ab + -2bx = ab + ax + b Add '-1ab' to each side of the equation. a + 4ab + -1ab + -2bx = ab + ax + -1ab + b Combine like terms: 4ab + -1ab = 3ab a + 3ab + -2bx = ab + ax + -1ab + b Reorder the terms: a + 3ab + -2bx = ab + -1ab + ax + b Combine like terms: ab + -1ab = 0 a + 3ab + -2bx = 0 + ax + b a + 3ab + -2bx = ax + b Add '-1ax' to each side of the equation. a + 3ab + -1ax + -2bx = ax + -1ax + b Combine like terms: ax + -1ax = 0 a + 3ab + -1ax + -2bx = 0 + b a + 3ab + -1ax + -2bx = b Add '2bx' to each side of the equation. a + 3ab + -1ax + -2bx + 2bx = b + 2bx Combine like terms: -2bx + 2bx = 0 a + 3ab + -1ax + 0 = b + 2bx a + 3ab + -1ax = b + 2bx Reorder the terms: a + 3ab + -1ax + -1b + -2bx = b + -1b + 2bx + -2bx Combine like terms: b + -1b = 0 a + 3ab + -1ax + -1b + -2bx = 0 + 2bx + -2bx a + 3ab + -1ax + -1b + -2bx = 2bx + -2bx Combine like terms: 2bx + -2bx = 0 a + 3ab + -1ax + -1b + -2bx = 0 The solution to this equation could not be determined.
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