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Simplifying 3(2x + 5) + x = 3(v + 5) + 2 Reorder the terms: 3(5 + 2x) + x = 3(v + 5) + 2 (5 * 3 + 2x * 3) + x = 3(v + 5) + 2 (15 + 6x) + x = 3(v + 5) + 2 Combine like terms: 6x + x = 7x 15 + 7x = 3(v + 5) + 2 Reorder the terms: 15 + 7x = 3(5 + v) + 2 15 + 7x = (5 * 3 + v * 3) + 2 15 + 7x = (15 + 3v) + 2 Reorder the terms: 15 + 7x = 15 + 2 + 3v Combine like terms: 15 + 2 = 17 15 + 7x = 17 + 3v Solving 15 + 7x = 17 + 3v Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 7x = 17 + -15 + 3v Combine like terms: 15 + -15 = 0 0 + 7x = 17 + -15 + 3v 7x = 17 + -15 + 3v Combine like terms: 17 + -15 = 2 7x = 2 + 3v Divide each side by '7'. x = 0.2857142857 + 0.4285714286v Simplifying x = 0.2857142857 + 0.4285714286v
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