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Simplifying 2x + 1 * 2x + 1 = 81 Multiply 1 * 2 2x + 2x + 1 = 81 Reorder the terms: 1 + 2x + 2x = 81 Combine like terms: 2x + 2x = 4x 1 + 4x = 81 Solving 1 + 4x = 81 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4x = 81 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 81 + -1 4x = 81 + -1 Combine like terms: 81 + -1 = 80 4x = 80 Divide each side by '4'. x = 20 Simplifying x = 20
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