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Simplifying x2 + 5k = kx + x + 19 Reorder the terms: 5k + x2 = kx + x + 19 Reorder the terms: 5k + x2 = 19 + kx + x Solving 5k + x2 = 19 + kx + x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-1kx' to each side of the equation. 5k + -1kx + x2 = 19 + kx + -1kx + x Combine like terms: kx + -1kx = 0 5k + -1kx + x2 = 19 + 0 + x 5k + -1kx + x2 = 19 + x Add '-1x2' to each side of the equation. 5k + -1kx + x2 + -1x2 = 19 + x + -1x2 Combine like terms: x2 + -1x2 = 0 5k + -1kx + 0 = 19 + x + -1x2 5k + -1kx = 19 + x + -1x2 Reorder the terms: -19 + 5k + -1kx + -1x + x2 = 19 + x + -1x2 + -19 + -1x + x2 Reorder the terms: -19 + 5k + -1kx + -1x + x2 = 19 + -19 + x + -1x + -1x2 + x2 Combine like terms: 19 + -19 = 0 -19 + 5k + -1kx + -1x + x2 = 0 + x + -1x + -1x2 + x2 -19 + 5k + -1kx + -1x + x2 = x + -1x + -1x2 + x2 Combine like terms: x + -1x = 0 -19 + 5k + -1kx + -1x + x2 = 0 + -1x2 + x2 -19 + 5k + -1kx + -1x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 -19 + 5k + -1kx + -1x + x2 = 0 The solution to this equation could not be determined.
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