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Simplifying (x + 2)(x + 2) = x(x + 5) + 1 Reorder the terms: (2 + x)(x + 2) = x(x + 5) + 1 Reorder the terms: (2 + x)(2 + x) = x(x + 5) + 1 Multiply (2 + x) * (2 + x) (2(2 + x) + x(2 + x)) = x(x + 5) + 1 ((2 * 2 + x * 2) + x(2 + x)) = x(x + 5) + 1 ((4 + 2x) + x(2 + x)) = x(x + 5) + 1 (4 + 2x + (2 * x + x * x)) = x(x + 5) + 1 (4 + 2x + (2x + x2)) = x(x + 5) + 1 Combine like terms: 2x + 2x = 4x (4 + 4x + x2) = x(x + 5) + 1 Reorder the terms: 4 + 4x + x2 = x(5 + x) + 1 4 + 4x + x2 = (5 * x + x * x) + 1 4 + 4x + x2 = (5x + x2) + 1 Reorder the terms: 4 + 4x + x2 = 1 + 5x + x2 Add '-1x2' to each side of the equation. 4 + 4x + x2 + -1x2 = 1 + 5x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 4 + 4x + 0 = 1 + 5x + x2 + -1x2 4 + 4x = 1 + 5x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 4 + 4x = 1 + 5x + 0 4 + 4x = 1 + 5x Solving 4 + 4x = 1 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 4 + 4x + -5x = 1 + 5x + -5x Combine like terms: 4x + -5x = -1x 4 + -1x = 1 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + -1x = 1 + 0 4 + -1x = 1 Add '-4' to each side of the equation. 4 + -4 + -1x = 1 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 1 + -4 -1x = 1 + -4 Combine like terms: 1 + -4 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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