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Simplifying 5(2x + 3) + 2(5x + 1) = 30 Reorder the terms: 5(3 + 2x) + 2(5x + 1) = 30 (3 * 5 + 2x * 5) + 2(5x + 1) = 30 (15 + 10x) + 2(5x + 1) = 30 Reorder the terms: 15 + 10x + 2(1 + 5x) = 30 15 + 10x + (1 * 2 + 5x * 2) = 30 15 + 10x + (2 + 10x) = 30 Reorder the terms: 15 + 2 + 10x + 10x = 30 Combine like terms: 15 + 2 = 17 17 + 10x + 10x = 30 Combine like terms: 10x + 10x = 20x 17 + 20x = 30 Solving 17 + 20x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 20x = 30 + -17 Combine like terms: 17 + -17 = 0 0 + 20x = 30 + -17 20x = 30 + -17 Combine like terms: 30 + -17 = 13 20x = 13 Divide each side by '20'. x = 0.65 Simplifying x = 0.65
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