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