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Simplifying (x + -1)(x + 5) = x2 + 23 Reorder the terms: (-1 + x)(x + 5) = x2 + 23 Reorder the terms: (-1 + x)(5 + x) = x2 + 23 Multiply (-1 + x) * (5 + x) (-1(5 + x) + x(5 + x)) = x2 + 23 ((5 * -1 + x * -1) + x(5 + x)) = x2 + 23 ((-5 + -1x) + x(5 + x)) = x2 + 23 (-5 + -1x + (5 * x + x * x)) = x2 + 23 (-5 + -1x + (5x + x2)) = x2 + 23 Combine like terms: -1x + 5x = 4x (-5 + 4x + x2) = x2 + 23 Reorder the terms: -5 + 4x + x2 = 23 + x2 Add '-1x2' to each side of the equation. -5 + 4x + x2 + -1x2 = 23 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -5 + 4x + 0 = 23 + x2 + -1x2 -5 + 4x = 23 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -5 + 4x = 23 + 0 -5 + 4x = 23 Solving -5 + 4x = 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 + 4x = 23 + 5 Combine like terms: -5 + 5 = 0 0 + 4x = 23 + 5 4x = 23 + 5 Combine like terms: 23 + 5 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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