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Simplifying (3lb + 1)(x + 4) = 0 Reorder the terms: (1 + 3bl)(x + 4) = 0 Reorder the terms: (1 + 3bl)(4 + x) = 0 Multiply (1 + 3bl) * (4 + x) (1(4 + x) + 3bl * (4 + x)) = 0 ((4 * 1 + x * 1) + 3bl * (4 + x)) = 0 ((4 + 1x) + 3bl * (4 + x)) = 0 (4 + 1x + (4 * 3bl + x * 3bl)) = 0 (4 + 1x + (12bl + 3blx)) = 0 Reorder the terms: (4 + 12bl + 3blx + 1x) = 0 (4 + 12bl + 3blx + 1x) = 0 Solving 4 + 12bl + 3blx + 1x = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 12bl + 3blx + -4 + 1x = 0 + -4 Reorder the terms: 4 + -4 + 12bl + 3blx + 1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 12bl + 3blx + 1x = 0 + -4 12bl + 3blx + 1x = 0 + -4 Combine like terms: 0 + -4 = -4 12bl + 3blx + 1x = -4 Add '-1x' to each side of the equation. 12bl + 3blx + 1x + -1x = -4 + -1x Combine like terms: 1x + -1x = 0 12bl + 3blx + 0 = -4 + -1x 12bl + 3blx = -4 + -1x Reorder the terms: 4 + 12bl + 3blx + x = -4 + -1x + 4 + x Reorder the terms: 4 + 12bl + 3blx + x = -4 + 4 + -1x + x Combine like terms: -4 + 4 = 0 4 + 12bl + 3blx + x = 0 + -1x + x 4 + 12bl + 3blx + x = -1x + x Combine like terms: -1x + x = 0 4 + 12bl + 3blx + x = 0 The solution to this equation could not be determined.
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