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Simplifying (2x + 1)(2x + 1) = 4x * x + -1 Reorder the terms: (1 + 2x)(2x + 1) = 4x * x + -1 Reorder the terms: (1 + 2x)(1 + 2x) = 4x * x + -1 Multiply (1 + 2x) * (1 + 2x) (1(1 + 2x) + 2x * (1 + 2x)) = 4x * x + -1 ((1 * 1 + 2x * 1) + 2x * (1 + 2x)) = 4x * x + -1 ((1 + 2x) + 2x * (1 + 2x)) = 4x * x + -1 (1 + 2x + (1 * 2x + 2x * 2x)) = 4x * x + -1 (1 + 2x + (2x + 4x2)) = 4x * x + -1 Combine like terms: 2x + 2x = 4x (1 + 4x + 4x2) = 4x * x + -1 Multiply x * x 1 + 4x + 4x2 = 4x2 + -1 Reorder the terms: 1 + 4x + 4x2 = -1 + 4x2 Add '-4x2' to each side of the equation. 1 + 4x + 4x2 + -4x2 = -1 + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 1 + 4x + 0 = -1 + 4x2 + -4x2 1 + 4x = -1 + 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 1 + 4x = -1 + 0 1 + 4x = -1 Solving 1 + 4x = -1 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 = -1 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = -1 + -1 4x = -1 + -1 Combine like terms: -1 + -1 = -2 4x = -2 Divide each side by '4'. x = -0.5 Simplifying x = -0.5
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