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Simplifying x(x + 2) + -1(x + -3)(x + 3) = 13 Reorder the terms: x(2 + x) + -1(x + -3)(x + 3) = 13 (2 * x + x * x) + -1(x + -3)(x + 3) = 13 (2x + x2) + -1(x + -3)(x + 3) = 13 Reorder the terms: 2x + x2 + -1(-3 + x)(x + 3) = 13 Reorder the terms: 2x + x2 + -1(-3 + x)(3 + x) = 13 Multiply (-3 + x) * (3 + x) 2x + x2 + -1(-3(3 + x) + x(3 + x)) = 13 2x + x2 + -1((3 * -3 + x * -3) + x(3 + x)) = 13 2x + x2 + -1((-9 + -3x) + x(3 + x)) = 13 2x + x2 + -1(-9 + -3x + (3 * x + x * x)) = 13 2x + x2 + -1(-9 + -3x + (3x + x2)) = 13 Combine like terms: -3x + 3x = 0 2x + x2 + -1(-9 + 0 + x2) = 13 2x + x2 + -1(-9 + x2) = 13 2x + x2 + (-9 * -1 + x2 * -1) = 13 2x + x2 + (9 + -1x2) = 13 Reorder the terms: 9 + 2x + x2 + -1x2 = 13 Combine like terms: x2 + -1x2 = 0 9 + 2x + 0 = 13 9 + 2x = 13 Solving 9 + 2x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2x = 13 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = 13 + -9 2x = 13 + -9 Combine like terms: 13 + -9 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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