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Simplifying (3k + -6) * x + -5 + 2 = 0 Reorder the terms: (-6 + 3k) * x + -5 + 2 = 0 Reorder the terms for easier multiplication: x(-6 + 3k) + -5 + 2 = 0 (-6 * x + 3k * x) + -5 + 2 = 0 Reorder the terms: (3kx + -6x) + -5 + 2 = 0 (3kx + -6x) + -5 + 2 = 0 Reorder the terms: -5 + 2 + 3kx + -6x = 0 Combine like terms: -5 + 2 = -3 -3 + 3kx + -6x = 0 Solving -3 + 3kx + -6x = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3kx + 3 + -6x = 0 + 3 Reorder the terms: -3 + 3 + 3kx + -6x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 3kx + -6x = 0 + 3 3kx + -6x = 0 + 3 Combine like terms: 0 + 3 = 3 3kx + -6x = 3 Add '6x' to each side of the equation. 3kx + -6x + 6x = 3 + 6x Combine like terms: -6x + 6x = 0 3kx + 0 = 3 + 6x 3kx = 3 + 6x Divide each side by '3x'. k = x-1 + 2 Simplifying k = x-1 + 2 Reorder the terms: k = 2 + x-1
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