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Simplifying 30 + 2k + 5x = 100 Solving 30 + 2k + 5x = 100 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + 2k + -30 + 5x = 100 + -30 Reorder the terms: 30 + -30 + 2k + 5x = 100 + -30 Combine like terms: 30 + -30 = 0 0 + 2k + 5x = 100 + -30 2k + 5x = 100 + -30 Combine like terms: 100 + -30 = 70 2k + 5x = 70 Add '-5x' to each side of the equation. 2k + 5x + -5x = 70 + -5x Combine like terms: 5x + -5x = 0 2k + 0 = 70 + -5x 2k = 70 + -5x Divide each side by '2'. k = 35 + -2.5x Simplifying k = 35 + -2.5x
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