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Simplifying 2(5 + -2k + 2x) = 5 (5 * 2 + -2k * 2 + 2x * 2) = 5 (10 + -4k + 4x) = 5 Solving 10 + -4k + 4x = 5 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -4k + -10 + 4x = 5 + -10 Reorder the terms: 10 + -10 + -4k + 4x = 5 + -10 Combine like terms: 10 + -10 = 0 0 + -4k + 4x = 5 + -10 -4k + 4x = 5 + -10 Combine like terms: 5 + -10 = -5 -4k + 4x = -5 Add '-4x' to each side of the equation. -4k + 4x + -4x = -5 + -4x Combine like terms: 4x + -4x = 0 -4k + 0 = -5 + -4x -4k = -5 + -4x Divide each side by '-4'. k = 1.25 + x Simplifying k = 1.25 + x
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