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Simplifying x3 + -2x2 + -1kx + 12 = 0 Reorder the terms: 12 + -1kx + -2x2 + x3 = 0 Solving 12 + -1kx + -2x2 + x3 = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -1kx + -2x2 + -12 + x3 = 0 + -12 Reorder the terms: 12 + -12 + -1kx + -2x2 + x3 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1kx + -2x2 + x3 = 0 + -12 -1kx + -2x2 + x3 = 0 + -12 Combine like terms: 0 + -12 = -12 -1kx + -2x2 + x3 = -12 Add '2x2' to each side of the equation. -1kx + -2x2 + 2x2 + x3 = -12 + 2x2 Combine like terms: -2x2 + 2x2 = 0 -1kx + 0 + x3 = -12 + 2x2 -1kx + x3 = -12 + 2x2 Add '-1x3' to each side of the equation. -1kx + x3 + -1x3 = -12 + 2x2 + -1x3 Combine like terms: x3 + -1x3 = 0 -1kx + 0 = -12 + 2x2 + -1x3 -1kx = -12 + 2x2 + -1x3 Divide each side by '-1x'. k = 12x-1 + -2x + x2 Simplifying k = 12x-1 + -2x + x2
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