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Simplifying 3k(x + -2) + k + -2x = 3k + 2 Reorder the terms: 3k(-2 + x) + k + -2x = 3k + 2 (-2 * 3k + x * 3k) + k + -2x = 3k + 2 (-6k + 3kx) + k + -2x = 3k + 2 Reorder the terms: -6k + k + 3kx + -2x = 3k + 2 Combine like terms: -6k + k = -5k -5k + 3kx + -2x = 3k + 2 Reorder the terms: -5k + 3kx + -2x = 2 + 3k Solving -5k + 3kx + -2x = 2 + 3k Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-3k' to each side of the equation. -5k + 3kx + -3k + -2x = 2 + 3k + -3k Reorder the terms: -5k + -3k + 3kx + -2x = 2 + 3k + -3k Combine like terms: -5k + -3k = -8k -8k + 3kx + -2x = 2 + 3k + -3k Combine like terms: 3k + -3k = 0 -8k + 3kx + -2x = 2 + 0 -8k + 3kx + -2x = 2 Add '2x' to each side of the equation. -8k + 3kx + -2x + 2x = 2 + 2x Combine like terms: -2x + 2x = 0 -8k + 3kx + 0 = 2 + 2x -8k + 3kx = 2 + 2x Reorder the terms: -2 + -8k + 3kx + -2x = 2 + 2x + -2 + -2x Reorder the terms: -2 + -8k + 3kx + -2x = 2 + -2 + 2x + -2x Combine like terms: 2 + -2 = 0 -2 + -8k + 3kx + -2x = 0 + 2x + -2x -2 + -8k + 3kx + -2x = 2x + -2x Combine like terms: 2x + -2x = 0 -2 + -8k + 3kx + -2x = 0 The solution to this equation could not be determined.
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