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Simplifying (x + 4)(x + 5) = x2 + 29 Reorder the terms: (4 + x)(x + 5) = x2 + 29 Reorder the terms: (4 + x)(5 + x) = x2 + 29 Multiply (4 + x) * (5 + x) (4(5 + x) + x(5 + x)) = x2 + 29 ((5 * 4 + x * 4) + x(5 + x)) = x2 + 29 ((20 + 4x) + x(5 + x)) = x2 + 29 (20 + 4x + (5 * x + x * x)) = x2 + 29 (20 + 4x + (5x + x2)) = x2 + 29 Combine like terms: 4x + 5x = 9x (20 + 9x + x2) = x2 + 29 Reorder the terms: 20 + 9x + x2 = 29 + x2 Add '-1x2' to each side of the equation. 20 + 9x + x2 + -1x2 = 29 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 20 + 9x + 0 = 29 + x2 + -1x2 20 + 9x = 29 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 20 + 9x = 29 + 0 20 + 9x = 29 Solving 20 + 9x = 29 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 9x = 29 + -20 Combine like terms: 20 + -20 = 0 0 + 9x = 29 + -20 9x = 29 + -20 Combine like terms: 29 + -20 = 9 9x = 9 Divide each side by '9'. x = 1 Simplifying x = 1
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