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Simplifying (4x + 5)(k + 7) = 0 Reorder the terms: (5 + 4x)(k + 7) = 0 Reorder the terms: (5 + 4x)(7 + k) = 0 Multiply (5 + 4x) * (7 + k) (5(7 + k) + 4x * (7 + k)) = 0 ((7 * 5 + k * 5) + 4x * (7 + k)) = 0 ((35 + 5k) + 4x * (7 + k)) = 0 (35 + 5k + (7 * 4x + k * 4x)) = 0 Reorder the terms: (35 + 5k + (4kx + 28x)) = 0 (35 + 5k + (4kx + 28x)) = 0 (35 + 5k + 4kx + 28x) = 0 Solving 35 + 5k + 4kx + 28x = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + 5k + 4kx + -35 + 28x = 0 + -35 Reorder the terms: 35 + -35 + 5k + 4kx + 28x = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 5k + 4kx + 28x = 0 + -35 5k + 4kx + 28x = 0 + -35 Combine like terms: 0 + -35 = -35 5k + 4kx + 28x = -35 Add '-28x' to each side of the equation. 5k + 4kx + 28x + -28x = -35 + -28x Combine like terms: 28x + -28x = 0 5k + 4kx + 0 = -35 + -28x 5k + 4kx = -35 + -28x Reorder the terms: 35 + 5k + 4kx + 28x = -35 + -28x + 35 + 28x Reorder the terms: 35 + 5k + 4kx + 28x = -35 + 35 + -28x + 28x Combine like terms: -35 + 35 = 0 35 + 5k + 4kx + 28x = 0 + -28x + 28x 35 + 5k + 4kx + 28x = -28x + 28x Combine like terms: -28x + 28x = 0 35 + 5k + 4kx + 28x = 0 The solution to this equation could not be determined.
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