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Simplifying 265 = (3x + 5)(x + 5) + -1(3x)(x) Reorder the terms: 265 = (5 + 3x)(x + 5) + -1(3x)(x) Reorder the terms: 265 = (5 + 3x)(5 + x) + -1(3x)(x) Multiply (5 + 3x) * (5 + x) 265 = (5(5 + x) + 3x * (5 + x)) + -1(3x)(x) 265 = ((5 * 5 + x * 5) + 3x * (5 + x)) + -1(3x)(x) 265 = ((25 + 5x) + 3x * (5 + x)) + -1(3x)(x) 265 = (25 + 5x + (5 * 3x + x * 3x)) + -1(3x)(x) 265 = (25 + 5x + (15x + 3x2)) + -1(3x)(x) Combine like terms: 5x + 15x = 20x 265 = (25 + 20x + 3x2) + -1(3x)(x) Remove parenthesis around (3x) 265 = 25 + 20x + 3x2 + -1 * 3x(x) Multiply -1 * 3 265 = 25 + 20x + 3x2 + -3x * x Multiply x * x 265 = 25 + 20x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 265 = 25 + 20x + 0 265 = 25 + 20x Solving 265 = 25 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 265 + -20x = 25 + 20x + -20x Combine like terms: 20x + -20x = 0 265 + -20x = 25 + 0 265 + -20x = 25 Add '-265' to each side of the equation. 265 + -265 + -20x = 25 + -265 Combine like terms: 265 + -265 = 0 0 + -20x = 25 + -265 -20x = 25 + -265 Combine like terms: 25 + -265 = -240 -20x = -240 Divide each side by '-20'. x = 12 Simplifying x = 12
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