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Simplifying (x + 5)(x + 1) = x2 + 23 Reorder the terms: (5 + x)(x + 1) = x2 + 23 Reorder the terms: (5 + x)(1 + x) = x2 + 23 Multiply (5 + x) * (1 + x) (5(1 + x) + x(1 + x)) = x2 + 23 ((1 * 5 + x * 5) + x(1 + x)) = x2 + 23 ((5 + 5x) + x(1 + x)) = x2 + 23 (5 + 5x + (1 * x + x * x)) = x2 + 23 (5 + 5x + (1x + x2)) = x2 + 23 Combine like terms: 5x + 1x = 6x (5 + 6x + x2) = x2 + 23 Reorder the terms: 5 + 6x + x2 = 23 + x2 Add '-1x2' to each side of the equation. 5 + 6x + x2 + -1x2 = 23 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 5 + 6x + 0 = 23 + x2 + -1x2 5 + 6x = 23 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 5 + 6x = 23 + 0 5 + 6x = 23 Solving 5 + 6x = 23 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 6x = 23 + -5 Combine like terms: 5 + -5 = 0 0 + 6x = 23 + -5 6x = 23 + -5 Combine like terms: 23 + -5 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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