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Simplifying (3 + b)(x + -2) + 3xb = 0 Reorder the terms: (3 + b)(-2 + x) + 3xb = 0 Multiply (3 + b) * (-2 + x) (3(-2 + x) + b(-2 + x)) + 3xb = 0 ((-2 * 3 + x * 3) + b(-2 + x)) + 3xb = 0 ((-6 + 3x) + b(-2 + x)) + 3xb = 0 (-6 + 3x + (-2 * b + x * b)) + 3xb = 0 (-6 + 3x + (-2b + bx)) + 3xb = 0 Reorder the terms: (-6 + -2b + bx + 3x) + 3xb = 0 (-6 + -2b + bx + 3x) + 3xb = 0 Reorder the terms: -6 + -2b + bx + 3bx + 3x = 0 Combine like terms: bx + 3bx = 4bx -6 + -2b + 4bx + 3x = 0 Solving -6 + -2b + 4bx + 3x = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -2b + 4bx + 6 + 3x = 0 + 6 Reorder the terms: -6 + 6 + -2b + 4bx + 3x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -2b + 4bx + 3x = 0 + 6 -2b + 4bx + 3x = 0 + 6 Combine like terms: 0 + 6 = 6 -2b + 4bx + 3x = 6 Add '-3x' to each side of the equation. -2b + 4bx + 3x + -3x = 6 + -3x Combine like terms: 3x + -3x = 0 -2b + 4bx + 0 = 6 + -3x -2b + 4bx = 6 + -3x Reorder the terms: -6 + -2b + 4bx + 3x = 6 + -3x + -6 + 3x Reorder the terms: -6 + -2b + 4bx + 3x = 6 + -6 + -3x + 3x Combine like terms: 6 + -6 = 0 -6 + -2b + 4bx + 3x = 0 + -3x + 3x -6 + -2b + 4bx + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 -6 + -2b + 4bx + 3x = 0 The solution to this equation could not be determined.
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