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Simplifying 2(x + k) + 6 + -2 = 2x + 10 Reorder the terms: 2(k + x) + 6 + -2 = 2x + 10 (k * 2 + x * 2) + 6 + -2 = 2x + 10 (2k + 2x) + 6 + -2 = 2x + 10 Reorder the terms: 6 + -2 + 2k + 2x = 2x + 10 Combine like terms: 6 + -2 = 4 4 + 2k + 2x = 2x + 10 Reorder the terms: 4 + 2k + 2x = 10 + 2x Add '-2x' to each side of the equation. 4 + 2k + 2x + -2x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + 2k + 0 = 10 + 2x + -2x 4 + 2k = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + 2k = 10 + 0 4 + 2k = 10 Solving 4 + 2k = 10 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 2k = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 2k = 10 + -4 2k = 10 + -4 Combine like terms: 10 + -4 = 6 2k = 6 Divide each side by '2'. k = 3 Simplifying k = 3
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