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Simplifying 5x(1.2k + 6) = 7.1k + 34.4 Reorder the terms: 5x(6 + 1.2k) = 7.1k + 34.4 (6 * 5x + 1.2k * 5x) = 7.1k + 34.4 Reorder the terms: (6kx + 30x) = 7.1k + 34.4 (6kx + 30x) = 7.1k + 34.4 Reorder the terms: 6kx + 30x = 34.4 + 7.1k Solving 6kx + 30x = 34.4 + 7.1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-7.1k' to each side of the equation. 6kx + -7.1k + 30x = 34.4 + 7.1k + -7.1k Reorder the terms: -7.1k + 6kx + 30x = 34.4 + 7.1k + -7.1k Combine like terms: 7.1k + -7.1k = 0.0 -7.1k + 6kx + 30x = 34.4 + 0.0 -7.1k + 6kx + 30x = 34.4 Add '-30x' to each side of the equation. -7.1k + 6kx + 30x + -30x = 34.4 + -30x Combine like terms: 30x + -30x = 0 -7.1k + 6kx + 0 = 34.4 + -30x -7.1k + 6kx = 34.4 + -30x Reorder the terms: -34.4 + -7.1k + 6kx + 30x = 34.4 + -30x + -34.4 + 30x Reorder the terms: -34.4 + -7.1k + 6kx + 30x = 34.4 + -34.4 + -30x + 30x Combine like terms: 34.4 + -34.4 = 0.0 -34.4 + -7.1k + 6kx + 30x = 0.0 + -30x + 30x -34.4 + -7.1k + 6kx + 30x = -30x + 30x Combine like terms: -30x + 30x = 0 -34.4 + -7.1k + 6kx + 30x = 0 The solution to this equation could not be determined.
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