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Simplifying (7k + 2x) + (-3k + 8x) = 0 Remove parenthesis around (7k + 2x) 7k + 2x + (-3k + 8x) = 0 Remove parenthesis around (-3k + 8x) 7k + 2x + -3k + 8x = 0 Reorder the terms: 7k + -3k + 2x + 8x = 0 Combine like terms: 7k + -3k = 4k 4k + 2x + 8x = 0 Combine like terms: 2x + 8x = 10x 4k + 10x = 0 Solving 4k + 10x = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10x' to each side of the equation. 4k + 10x + -10x = 0 + -10x Combine like terms: 10x + -10x = 0 4k + 0 = 0 + -10x 4k = 0 + -10x Remove the zero: 4k = -10x Divide each side by '4'. k = -2.5x Simplifying k = -2.5x
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