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Simplifying (x + 2)(x + 3) = x2 + -9 Reorder the terms: (2 + x)(x + 3) = x2 + -9 Reorder the terms: (2 + x)(3 + x) = x2 + -9 Multiply (2 + x) * (3 + x) (2(3 + x) + x(3 + x)) = x2 + -9 ((3 * 2 + x * 2) + x(3 + x)) = x2 + -9 ((6 + 2x) + x(3 + x)) = x2 + -9 (6 + 2x + (3 * x + x * x)) = x2 + -9 (6 + 2x + (3x + x2)) = x2 + -9 Combine like terms: 2x + 3x = 5x (6 + 5x + x2) = x2 + -9 Reorder the terms: 6 + 5x + x2 = -9 + x2 Add '-1x2' to each side of the equation. 6 + 5x + x2 + -1x2 = -9 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 6 + 5x + 0 = -9 + x2 + -1x2 6 + 5x = -9 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 6 + 5x = -9 + 0 6 + 5x = -9 Solving 6 + 5x = -9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + 5x = -9 + -6 Combine like terms: 6 + -6 = 0 0 + 5x = -9 + -6 5x = -9 + -6 Combine like terms: -9 + -6 = -15 5x = -15 Divide each side by '5'. x = -3 Simplifying x = -3
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