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Simplifying (x + 5)(x + 5) + -1x2 = 95 Reorder the terms: (5 + x)(x + 5) + -1x2 = 95 Reorder the terms: (5 + x)(5 + x) + -1x2 = 95 Multiply (5 + x) * (5 + x) (5(5 + x) + x(5 + x)) + -1x2 = 95 ((5 * 5 + x * 5) + x(5 + x)) + -1x2 = 95 ((25 + 5x) + x(5 + x)) + -1x2 = 95 (25 + 5x + (5 * x + x * x)) + -1x2 = 95 (25 + 5x + (5x + x2)) + -1x2 = 95 Combine like terms: 5x + 5x = 10x (25 + 10x + x2) + -1x2 = 95 Combine like terms: x2 + -1x2 = 0 25 + 10x + 0 = 95 25 + 10x = 95 Solving 25 + 10x = 95 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 + 10x = 95 + -25 Combine like terms: 25 + -25 = 0 0 + 10x = 95 + -25 10x = 95 + -25 Combine like terms: 95 + -25 = 70 10x = 70 Divide each side by '10'. x = 7 Simplifying x = 7
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