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Simplifying (3k + -6) * x + -5k + 2 = 0 Reorder the terms: (-6 + 3k) * x + -5k + 2 = 0 Reorder the terms for easier multiplication: x(-6 + 3k) + -5k + 2 = 0 (-6 * x + 3k * x) + -5k + 2 = 0 Reorder the terms: (3kx + -6x) + -5k + 2 = 0 (3kx + -6x) + -5k + 2 = 0 Reorder the terms: 2 + -5k + 3kx + -6x = 0 Solving 2 + -5k + 3kx + -6x = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -5k + 3kx + -2 + -6x = 0 + -2 Reorder the terms: 2 + -2 + -5k + 3kx + -6x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5k + 3kx + -6x = 0 + -2 -5k + 3kx + -6x = 0 + -2 Combine like terms: 0 + -2 = -2 -5k + 3kx + -6x = -2 Add '6x' to each side of the equation. -5k + 3kx + -6x + 6x = -2 + 6x Combine like terms: -6x + 6x = 0 -5k + 3kx + 0 = -2 + 6x -5k + 3kx = -2 + 6x Reorder the terms: 2 + -5k + 3kx + -6x = -2 + 6x + 2 + -6x Reorder the terms: 2 + -5k + 3kx + -6x = -2 + 2 + 6x + -6x Combine like terms: -2 + 2 = 0 2 + -5k + 3kx + -6x = 0 + 6x + -6x 2 + -5k + 3kx + -6x = 6x + -6x Combine like terms: 6x + -6x = 0 2 + -5k + 3kx + -6x = 0 The solution to this equation could not be determined.
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