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Simplifying 2(5x + 2) = 102 Reorder the terms: 2(2 + 5x) = 102 (2 * 2 + 5x * 2) = 102 (4 + 10x) = 102 Solving 4 + 10x = 102 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 10x = 102 + -4 Combine like terms: 4 + -4 = 0 0 + 10x = 102 + -4 10x = 102 + -4 Combine like terms: 102 + -4 = 98 10x = 98 Divide each side by '10'. x = 9.8 Simplifying x = 9.8
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