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Simplifying 2(4x + 2) = 84 Reorder the terms: 2(2 + 4x) = 84 (2 * 2 + 4x * 2) = 84 (4 + 8x) = 84 Solving 4 + 8x = 84 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 + 8x = 84 + -4 Combine like terms: 4 + -4 = 0 0 + 8x = 84 + -4 8x = 84 + -4 Combine like terms: 84 + -4 = 80 8x = 80 Divide each side by '8'. x = 10 Simplifying x = 10
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