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Simplifying (x + 3)(x + 5) = x2 + 7x + -3 Reorder the terms: (3 + x)(x + 5) = x2 + 7x + -3 Reorder the terms: (3 + x)(5 + x) = x2 + 7x + -3 Multiply (3 + x) * (5 + x) (3(5 + x) + x(5 + x)) = x2 + 7x + -3 ((5 * 3 + x * 3) + x(5 + x)) = x2 + 7x + -3 ((15 + 3x) + x(5 + x)) = x2 + 7x + -3 (15 + 3x + (5 * x + x * x)) = x2 + 7x + -3 (15 + 3x + (5x + x2)) = x2 + 7x + -3 Combine like terms: 3x + 5x = 8x (15 + 8x + x2) = x2 + 7x + -3 Reorder the terms: 15 + 8x + x2 = -3 + 7x + x2 Add '-1x2' to each side of the equation. 15 + 8x + x2 + -1x2 = -3 + 7x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 15 + 8x + 0 = -3 + 7x + x2 + -1x2 15 + 8x = -3 + 7x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 15 + 8x = -3 + 7x + 0 15 + 8x = -3 + 7x Solving 15 + 8x = -3 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 15 + 8x + -7x = -3 + 7x + -7x Combine like terms: 8x + -7x = 1x 15 + 1x = -3 + 7x + -7x Combine like terms: 7x + -7x = 0 15 + 1x = -3 + 0 15 + 1x = -3 Add '-15' to each side of the equation. 15 + -15 + 1x = -3 + -15 Combine like terms: 15 + -15 = 0 0 + 1x = -3 + -15 1x = -3 + -15 Combine like terms: -3 + -15 = -18 1x = -18 Divide each side by '1'. x = -18 Simplifying x = -18
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