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Simplifying 2(x + 1) * 2 = 512 Reorder the terms: 2(1 + x) * 2 = 512 Reorder the terms for easier multiplication: 2 * 2(1 + x) = 512 Multiply 2 * 2 4(1 + x) = 512 (1 * 4 + x * 4) = 512 (4 + 4x) = 512 Solving 4 + 4x = 512 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 + 4x = 512 + -4 Combine like terms: 4 + -4 = 0 0 + 4x = 512 + -4 4x = 512 + -4 Combine like terms: 512 + -4 = 508 4x = 508 Divide each side by '4'. x = 127 Simplifying x = 127
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