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Simplifying 2(5x + 1) = 102 Reorder the terms: 2(1 + 5x) = 102 (1 * 2 + 5x * 2) = 102 (2 + 10x) = 102 Solving 2 + 10x = 102 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 10x = 102 + -2 Combine like terms: 2 + -2 = 0 0 + 10x = 102 + -2 10x = 102 + -2 Combine like terms: 102 + -2 = 100 10x = 100 Divide each side by '10'. x = 10 Simplifying x = 10
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