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Simplifying 2(1 + 4x) = 82 (1 * 2 + 4x * 2) = 82 (2 + 8x) = 82 Solving 2 + 8x = 82 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 + 8x = 82 + -2 Combine like terms: 2 + -2 = 0 0 + 8x = 82 + -2 8x = 82 + -2 Combine like terms: 82 + -2 = 80 8x = 80 Divide each side by '8'. x = 10 Simplifying x = 10
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