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Simplifying 2(3 + 5x) + 2(5x + 3) = 92 (3 * 2 + 5x * 2) + 2(5x + 3) = 92 (6 + 10x) + 2(5x + 3) = 92 Reorder the terms: 6 + 10x + 2(3 + 5x) = 92 6 + 10x + (3 * 2 + 5x * 2) = 92 6 + 10x + (6 + 10x) = 92 Reorder the terms: 6 + 6 + 10x + 10x = 92 Combine like terms: 6 + 6 = 12 12 + 10x + 10x = 92 Combine like terms: 10x + 10x = 20x 12 + 20x = 92 Solving 12 + 20x = 92 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 20x = 92 + -12 Combine like terms: 12 + -12 = 0 0 + 20x = 92 + -12 20x = 92 + -12 Combine like terms: 92 + -12 = 80 20x = 80 Divide each side by '20'. x = 4 Simplifying x = 4
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