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Simplifying (x + 5)(5 + 5 + x) + -1(x(x + 5)) = 330 Reorder the terms: (5 + x)(5 + 5 + x) + -1(x(x + 5)) = 330 Combine like terms: 5 + 5 = 10 (5 + x)(10 + x) + -1(x(x + 5)) = 330 Multiply (5 + x) * (10 + x) (5(10 + x) + x(10 + x)) + -1(x(x + 5)) = 330 ((10 * 5 + x * 5) + x(10 + x)) + -1(x(x + 5)) = 330 ((50 + 5x) + x(10 + x)) + -1(x(x + 5)) = 330 (50 + 5x + (10 * x + x * x)) + -1(x(x + 5)) = 330 (50 + 5x + (10x + x2)) + -1(x(x + 5)) = 330 Combine like terms: 5x + 10x = 15x (50 + 15x + x2) + -1(x(x + 5)) = 330 Reorder the terms: 50 + 15x + x2 + -1(x(5 + x)) = 330 50 + 15x + x2 + -1((5 * x + x * x)) = 330 50 + 15x + x2 + -1((5x + x2)) = 330 50 + 15x + x2 + (5x * -1 + x2 * -1) = 330 50 + 15x + x2 + (-5x + -1x2) = 330 Reorder the terms: 50 + 15x + -5x + x2 + -1x2 = 330 Combine like terms: 15x + -5x = 10x 50 + 10x + x2 + -1x2 = 330 Combine like terms: x2 + -1x2 = 0 50 + 10x + 0 = 330 50 + 10x = 330 Solving 50 + 10x = 330 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + 10x = 330 + -50 Combine like terms: 50 + -50 = 0 0 + 10x = 330 + -50 10x = 330 + -50 Combine like terms: 330 + -50 = 280 10x = 280 Divide each side by '10'. x = 28 Simplifying x = 28
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