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Simplifying (4k + 5)(x + 1) = 0 Reorder the terms: (5 + 4k)(x + 1) = 0 Reorder the terms: (5 + 4k)(1 + x) = 0 Multiply (5 + 4k) * (1 + x) (5(1 + x) + 4k * (1 + x)) = 0 ((1 * 5 + x * 5) + 4k * (1 + x)) = 0 ((5 + 5x) + 4k * (1 + x)) = 0 (5 + 5x + (1 * 4k + x * 4k)) = 0 (5 + 5x + (4k + 4kx)) = 0 Reorder the terms: (5 + 4k + 4kx + 5x) = 0 (5 + 4k + 4kx + 5x) = 0 Solving 5 + 4k + 4kx + 5x = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 4k + 4kx + -5 + 5x = 0 + -5 Reorder the terms: 5 + -5 + 4k + 4kx + 5x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4k + 4kx + 5x = 0 + -5 4k + 4kx + 5x = 0 + -5 Combine like terms: 0 + -5 = -5 4k + 4kx + 5x = -5 Add '-5x' to each side of the equation. 4k + 4kx + 5x + -5x = -5 + -5x Combine like terms: 5x + -5x = 0 4k + 4kx + 0 = -5 + -5x 4k + 4kx = -5 + -5x Reorder the terms: 5 + 4k + 4kx + 5x = -5 + -5x + 5 + 5x Reorder the terms: 5 + 4k + 4kx + 5x = -5 + 5 + -5x + 5x Combine like terms: -5 + 5 = 0 5 + 4k + 4kx + 5x = 0 + -5x + 5x 5 + 4k + 4kx + 5x = -5x + 5x Combine like terms: -5x + 5x = 0 5 + 4k + 4kx + 5x = 0 The solution to this equation could not be determined.
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