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Simplifying (3x + 5)(x + 5) = 3x2 + 185 Reorder the terms: (5 + 3x)(x + 5) = 3x2 + 185 Reorder the terms: (5 + 3x)(5 + x) = 3x2 + 185 Multiply (5 + 3x) * (5 + x) (5(5 + x) + 3x * (5 + x)) = 3x2 + 185 ((5 * 5 + x * 5) + 3x * (5 + x)) = 3x2 + 185 ((25 + 5x) + 3x * (5 + x)) = 3x2 + 185 (25 + 5x + (5 * 3x + x * 3x)) = 3x2 + 185 (25 + 5x + (15x + 3x2)) = 3x2 + 185 Combine like terms: 5x + 15x = 20x (25 + 20x + 3x2) = 3x2 + 185 Reorder the terms: 25 + 20x + 3x2 = 185 + 3x2 Add '-3x2' to each side of the equation. 25 + 20x + 3x2 + -3x2 = 185 + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 25 + 20x + 0 = 185 + 3x2 + -3x2 25 + 20x = 185 + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 25 + 20x = 185 + 0 25 + 20x = 185 Solving 25 + 20x = 185 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 20x = 185 + -25 Combine like terms: 25 + -25 = 0 0 + 20x = 185 + -25 20x = 185 + -25 Combine like terms: 185 + -25 = 160 20x = 160 Divide each side by '20'. x = 8 Simplifying x = 8
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