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Simplifying x2 + -1kx + 9 = 6x Reorder the terms: 9 + -1kx + x2 = 6x Solving 9 + -1kx + x2 = 6x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -1kx + -9 + x2 = -9 + 6x Reorder the terms: 9 + -9 + -1kx + x2 = -9 + 6x Combine like terms: 9 + -9 = 0 0 + -1kx + x2 = -9 + 6x -1kx + x2 = -9 + 6x Add '-1x2' to each side of the equation. -1kx + x2 + -1x2 = -9 + 6x + -1x2 Combine like terms: x2 + -1x2 = 0 -1kx + 0 = -9 + 6x + -1x2 -1kx = -9 + 6x + -1x2 Divide each side by '-1x'. k = 9x-1 + -6 + x Simplifying k = 9x-1 + -6 + x Reorder the terms: k = -6 + 9x-1 + x
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