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Simplifying (x + -3)(x + 5) = x2 + 5x + 6 Reorder the terms: (-3 + x)(x + 5) = x2 + 5x + 6 Reorder the terms: (-3 + x)(5 + x) = x2 + 5x + 6 Multiply (-3 + x) * (5 + x) (-3(5 + x) + x(5 + x)) = x2 + 5x + 6 ((5 * -3 + x * -3) + x(5 + x)) = x2 + 5x + 6 ((-15 + -3x) + x(5 + x)) = x2 + 5x + 6 (-15 + -3x + (5 * x + x * x)) = x2 + 5x + 6 (-15 + -3x + (5x + x2)) = x2 + 5x + 6 Combine like terms: -3x + 5x = 2x (-15 + 2x + x2) = x2 + 5x + 6 Reorder the terms: -15 + 2x + x2 = 6 + 5x + x2 Add '-1x2' to each side of the equation. -15 + 2x + x2 + -1x2 = 6 + 5x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -15 + 2x + 0 = 6 + 5x + x2 + -1x2 -15 + 2x = 6 + 5x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -15 + 2x = 6 + 5x + 0 -15 + 2x = 6 + 5x Solving -15 + 2x = 6 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -15 + 2x + -5x = 6 + 5x + -5x Combine like terms: 2x + -5x = -3x -15 + -3x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 -15 + -3x = 6 + 0 -15 + -3x = 6 Add '15' to each side of the equation. -15 + 15 + -3x = 6 + 15 Combine like terms: -15 + 15 = 0 0 + -3x = 6 + 15 -3x = 6 + 15 Combine like terms: 6 + 15 = 21 -3x = 21 Divide each side by '-3'. x = -7 Simplifying x = -7
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