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Simplifying x(5 + -1k) = 12 (5 * x + -1k * x) = 12 Reorder the terms: (-1kx + 5x) = 12 (-1kx + 5x) = 12 Solving -1kx + 5x = 12 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5x' to each side of the equation. -1kx + 5x + -5x = 12 + -5x Combine like terms: 5x + -5x = 0 -1kx + 0 = 12 + -5x -1kx = 12 + -5x Divide each side by '-1x'. k = -12x-1 + 5 Simplifying k = -12x-1 + 5 Reorder the terms: k = 5 + -12x-1
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