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Simplifying x2 + kx + 5 = 2x + k Reorder the terms: 5 + kx + x2 = 2x + k Reorder the terms: 5 + kx + x2 = k + 2x Solving 5 + kx + x2 = k + 2x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1k' to each side of the equation. 5 + kx + -1k + x2 = k + -1k + 2x Reorder the terms: 5 + -1k + kx + x2 = k + -1k + 2x Combine like terms: k + -1k = 0 5 + -1k + kx + x2 = 0 + 2x 5 + -1k + kx + x2 = 2x Add '-5' to each side of the equation. 5 + -1k + kx + -5 + x2 = -5 + 2x Reorder the terms: 5 + -5 + -1k + kx + x2 = -5 + 2x Combine like terms: 5 + -5 = 0 0 + -1k + kx + x2 = -5 + 2x -1k + kx + x2 = -5 + 2x Add '-1x2' to each side of the equation. -1k + kx + x2 + -1x2 = -5 + 2x + -1x2 Combine like terms: x2 + -1x2 = 0 -1k + kx + 0 = -5 + 2x + -1x2 -1k + kx = -5 + 2x + -1x2 Reorder the terms: 5 + -1k + kx + -2x + x2 = -5 + 2x + -1x2 + 5 + -2x + x2 Reorder the terms: 5 + -1k + kx + -2x + x2 = -5 + 5 + 2x + -2x + -1x2 + x2 Combine like terms: -5 + 5 = 0 5 + -1k + kx + -2x + x2 = 0 + 2x + -2x + -1x2 + x2 5 + -1k + kx + -2x + x2 = 2x + -2x + -1x2 + x2 Combine like terms: 2x + -2x = 0 5 + -1k + kx + -2x + x2 = 0 + -1x2 + x2 5 + -1k + kx + -2x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 5 + -1k + kx + -2x + x2 = 0 The solution to this equation could not be determined.
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