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Simplifying x + (k + -2) * x + 4 = 0 Reorder the terms: x + (-2 + k) * x + 4 = 0 Reorder the terms for easier multiplication: x + x(-2 + k) + 4 = 0 x + (-2 * x + k * x) + 4 = 0 Reorder the terms: x + (kx + -2x) + 4 = 0 x + (kx + -2x) + 4 = 0 Reorder the terms: 4 + kx + x + -2x = 0 Combine like terms: x + -2x = -1x 4 + kx + -1x = 0 Solving 4 + kx + -1x = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + kx + -4 + -1x = 0 + -4 Reorder the terms: 4 + -4 + kx + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + kx + -1x = 0 + -4 kx + -1x = 0 + -4 Combine like terms: 0 + -4 = -4 kx + -1x = -4 Add 'x' to each side of the equation. kx + -1x + x = -4 + x Combine like terms: -1x + x = 0 kx + 0 = -4 + x kx = -4 + x Divide each side by 'x'. k = -4x-1 + 1 Simplifying k = -4x-1 + 1 Reorder the terms: k = 1 + -4x-1
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