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Simplifying 6x + 2k + -1x + 3k = 0 Reorder the terms: 2k + 3k + 6x + -1x = 0 Combine like terms: 2k + 3k = 5k 5k + 6x + -1x = 0 Combine like terms: 6x + -1x = 5x 5k + 5x = 0 Solving 5k + 5x = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-5x' to each side of the equation. 5k + 5x + -5x = 0 + -5x Combine like terms: 5x + -5x = 0 5k + 0 = 0 + -5x 5k = 0 + -5x Remove the zero: 5k = -5x Divide each side by '5'. k = -1x Simplifying k = -1x
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