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Simplifying (x + 5)(x + 3) + -1x(x + -3) = 0 Reorder the terms: (5 + x)(x + 3) + -1x(x + -3) = 0 Reorder the terms: (5 + x)(3 + x) + -1x(x + -3) = 0 Multiply (5 + x) * (3 + x) (5(3 + x) + x(3 + x)) + -1x(x + -3) = 0 ((3 * 5 + x * 5) + x(3 + x)) + -1x(x + -3) = 0 ((15 + 5x) + x(3 + x)) + -1x(x + -3) = 0 (15 + 5x + (3 * x + x * x)) + -1x(x + -3) = 0 (15 + 5x + (3x + x2)) + -1x(x + -3) = 0 Combine like terms: 5x + 3x = 8x (15 + 8x + x2) + -1x(x + -3) = 0 Reorder the terms: 15 + 8x + x2 + -1x(-3 + x) = 0 15 + 8x + x2 + (-3 * -1x + x * -1x) = 0 15 + 8x + x2 + (3x + -1x2) = 0 Reorder the terms: 15 + 8x + 3x + x2 + -1x2 = 0 Combine like terms: 8x + 3x = 11x 15 + 11x + x2 + -1x2 = 0 Combine like terms: x2 + -1x2 = 0 15 + 11x + 0 = 0 15 + 11x = 0 Solving 15 + 11x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 11x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 11x = 0 + -15 11x = 0 + -15 Combine like terms: 0 + -15 = -15 11x = -15 Divide each side by '11'. x = -1.363636364 Simplifying x = -1.363636364
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