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Simplifying 7k + -1x + 2(k + 12) = 52 Reorder the terms: 7k + -1x + 2(12 + k) = 52 7k + -1x + (12 * 2 + k * 2) = 52 7k + -1x + (24 + 2k) = 52 Reorder the terms: 24 + 7k + 2k + -1x = 52 Combine like terms: 7k + 2k = 9k 24 + 9k + -1x = 52 Solving 24 + 9k + -1x = 52 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + 9k + -24 + -1x = 52 + -24 Reorder the terms: 24 + -24 + 9k + -1x = 52 + -24 Combine like terms: 24 + -24 = 0 0 + 9k + -1x = 52 + -24 9k + -1x = 52 + -24 Combine like terms: 52 + -24 = 28 9k + -1x = 28 Add 'x' to each side of the equation. 9k + -1x + x = 28 + x Combine like terms: -1x + x = 0 9k + 0 = 28 + x 9k = 28 + x Divide each side by '9'. k = 3.111111111 + 0.1111111111x Simplifying k = 3.111111111 + 0.1111111111x
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