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Simplifying k(3 + -2x) + -3x(1 + k) = 2 + k (3 * k + -2x * k) + -3x(1 + k) = 2 + k (3k + -2kx) + -3x(1 + k) = 2 + k 3k + -2kx + (1 * -3x + k * -3x) = 2 + k Reorder the terms: 3k + -2kx + (-3kx + -3x) = 2 + k 3k + -2kx + (-3kx + -3x) = 2 + k Combine like terms: -2kx + -3kx = -5kx 3k + -5kx + -3x = 2 + k Solving 3k + -5kx + -3x = 2 + k 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. 3k + -5kx + -1k + -3x = 2 + k + -1k Reorder the terms: 3k + -1k + -5kx + -3x = 2 + k + -1k Combine like terms: 3k + -1k = 2k 2k + -5kx + -3x = 2 + k + -1k Combine like terms: k + -1k = 0 2k + -5kx + -3x = 2 + 0 2k + -5kx + -3x = 2 Add '3x' to each side of the equation. 2k + -5kx + -3x + 3x = 2 + 3x Combine like terms: -3x + 3x = 0 2k + -5kx + 0 = 2 + 3x 2k + -5kx = 2 + 3x Reorder the terms: -2 + 2k + -5kx + -3x = 2 + 3x + -2 + -3x Reorder the terms: -2 + 2k + -5kx + -3x = 2 + -2 + 3x + -3x Combine like terms: 2 + -2 = 0 -2 + 2k + -5kx + -3x = 0 + 3x + -3x -2 + 2k + -5kx + -3x = 3x + -3x Combine like terms: 3x + -3x = 0 -2 + 2k + -5kx + -3x = 0 The solution to this equation could not be determined.
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