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Simplifying (2 + (2 + x) * 2) * 2 = 2016 Reorder the terms for easier multiplication: (2 + 2(2 + x)) * 2 = 2016 (2 + (2 * 2 + x * 2)) * 2 = 2016 (2 + (4 + 2x)) * 2 = 2016 Combine like terms: 2 + 4 = 6 (6 + 2x) * 2 = 2016 Reorder the terms for easier multiplication: 2(6 + 2x) = 2016 (6 * 2 + 2x * 2) = 2016 (12 + 4x) = 2016 Solving 12 + 4x = 2016 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 + 4x = 2016 + -12 Combine like terms: 12 + -12 = 0 0 + 4x = 2016 + -12 4x = 2016 + -12 Combine like terms: 2016 + -12 = 2004 4x = 2004 Divide each side by '4'. x = 501 Simplifying x = 501
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