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Simplifying (x + 3)(x + 3) = (x + 5)(x + 5) Reorder the terms: (3 + x)(x + 3) = (x + 5)(x + 5) Reorder the terms: (3 + x)(3 + x) = (x + 5)(x + 5) Multiply (3 + x) * (3 + x) (3(3 + x) + x(3 + x)) = (x + 5)(x + 5) ((3 * 3 + x * 3) + x(3 + x)) = (x + 5)(x + 5) ((9 + 3x) + x(3 + x)) = (x + 5)(x + 5) (9 + 3x + (3 * x + x * x)) = (x + 5)(x + 5) (9 + 3x + (3x + x2)) = (x + 5)(x + 5) Combine like terms: 3x + 3x = 6x (9 + 6x + x2) = (x + 5)(x + 5) Reorder the terms: 9 + 6x + x2 = (5 + x)(x + 5) Reorder the terms: 9 + 6x + x2 = (5 + x)(5 + x) Multiply (5 + x) * (5 + x) 9 + 6x + x2 = (5(5 + x) + x(5 + x)) 9 + 6x + x2 = ((5 * 5 + x * 5) + x(5 + x)) 9 + 6x + x2 = ((25 + 5x) + x(5 + x)) 9 + 6x + x2 = (25 + 5x + (5 * x + x * x)) 9 + 6x + x2 = (25 + 5x + (5x + x2)) Combine like terms: 5x + 5x = 10x 9 + 6x + x2 = (25 + 10x + x2) Add '-1x2' to each side of the equation. 9 + 6x + x2 + -1x2 = 25 + 10x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 9 + 6x + 0 = 25 + 10x + x2 + -1x2 9 + 6x = 25 + 10x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 9 + 6x = 25 + 10x + 0 9 + 6x = 25 + 10x Solving 9 + 6x = 25 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 9 + 6x + -10x = 25 + 10x + -10x Combine like terms: 6x + -10x = -4x 9 + -4x = 25 + 10x + -10x Combine like terms: 10x + -10x = 0 9 + -4x = 25 + 0 9 + -4x = 25 Add '-9' to each side of the equation. 9 + -9 + -4x = 25 + -9 Combine like terms: 9 + -9 = 0 0 + -4x = 25 + -9 -4x = 25 + -9 Combine like terms: 25 + -9 = 16 -4x = 16 Divide each side by '-4'. x = -4 Simplifying x = -4
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