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