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Simplifying 3k + 15 + 2x = 5(x + 5) Reorder the terms: 15 + 3k + 2x = 5(x + 5) Reorder the terms: 15 + 3k + 2x = 5(5 + x) 15 + 3k + 2x = (5 * 5 + x * 5) 15 + 3k + 2x = (25 + 5x) Solving 15 + 3k + 2x = 25 + 5x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + 3k + -15 + 2x = 25 + -15 + 5x Reorder the terms: 15 + -15 + 3k + 2x = 25 + -15 + 5x Combine like terms: 15 + -15 = 0 0 + 3k + 2x = 25 + -15 + 5x 3k + 2x = 25 + -15 + 5x Combine like terms: 25 + -15 = 10 3k + 2x = 10 + 5x Add '-2x' to each side of the equation. 3k + 2x + -2x = 10 + 5x + -2x Combine like terms: 2x + -2x = 0 3k + 0 = 10 + 5x + -2x 3k = 10 + 5x + -2x Combine like terms: 5x + -2x = 3x 3k = 10 + 3x Divide each side by '3'. k = 3.333333333 + x Simplifying k = 3.333333333 + x
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