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Simplifying 3x + (k + 2) * x = 1 + -1k Reorder the terms: 3x + (2 + k) * x = 1 + -1k Reorder the terms for easier multiplication: 3x + x(2 + k) = 1 + -1k 3x + (2 * x + k * x) = 1 + -1k Reorder the terms: 3x + (kx + 2x) = 1 + -1k 3x + (kx + 2x) = 1 + -1k Reorder the terms: kx + 3x + 2x = 1 + -1k Combine like terms: 3x + 2x = 5x kx + 5x = 1 + -1k Solving kx + 5x = 1 + -1k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add 'k' to each side of the equation. kx + k + 5x = 1 + -1k + k Reorder the terms: k + kx + 5x = 1 + -1k + k Combine like terms: -1k + k = 0 k + kx + 5x = 1 + 0 k + kx + 5x = 1 Add '-5x' to each side of the equation. k + kx + 5x + -5x = 1 + -5x Combine like terms: 5x + -5x = 0 k + kx + 0 = 1 + -5x k + kx = 1 + -5x Reorder the terms: -1 + k + kx + 5x = 1 + -5x + -1 + 5x Reorder the terms: -1 + k + kx + 5x = 1 + -1 + -5x + 5x Combine like terms: 1 + -1 = 0 -1 + k + kx + 5x = 0 + -5x + 5x -1 + k + kx + 5x = -5x + 5x Combine like terms: -5x + 5x = 0 -1 + k + kx + 5x = 0 The solution to this equation could not be determined.
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