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Simplifying x2 + -8x + -1kx + -7 + -2 = 0 Reorder the terms: -7 + -2 + -1kx + -8x + x2 = 0 Combine like terms: -7 + -2 = -9 -9 + -1kx + -8x + x2 = 0 Solving -9 + -1kx + -8x + x2 = 0 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 + -8x + 9 + x2 = 0 + 9 Reorder the terms: -9 + 9 + -1kx + -8x + x2 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1kx + -8x + x2 = 0 + 9 -1kx + -8x + x2 = 0 + 9 Combine like terms: 0 + 9 = 9 -1kx + -8x + x2 = 9 Add '8x' to each side of the equation. -1kx + -8x + 8x + x2 = 9 + 8x Combine like terms: -8x + 8x = 0 -1kx + 0 + x2 = 9 + 8x -1kx + x2 = 9 + 8x Add '-1x2' to each side of the equation. -1kx + x2 + -1x2 = 9 + 8x + -1x2 Combine like terms: x2 + -1x2 = 0 -1kx + 0 = 9 + 8x + -1x2 -1kx = 9 + 8x + -1x2 Divide each side by '-1x'. k = -9x-1 + -8 + x Simplifying k = -9x-1 + -8 + x Reorder the terms: k = -8 + -9x-1 + x
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