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