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Simplifying (x + 26) * 2 = 256 Reorder the terms: (26 + x) * 2 = 256 Reorder the terms for easier multiplication: 2(26 + x) = 256 (26 * 2 + x * 2) = 256 (52 + 2x) = 256 Solving 52 + 2x = 256 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -52 + 2x = 256 + -52 Combine like terms: 52 + -52 = 0 0 + 2x = 256 + -52 2x = 256 + -52 Combine like terms: 256 + -52 = 204 2x = 204 Divide each side by '2'. x = 102 Simplifying x = 102
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