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Simplifying (x + -1)(x + 3) = x2 + -2x + 13 Reorder the terms: (-1 + x)(x + 3) = x2 + -2x + 13 Reorder the terms: (-1 + x)(3 + x) = x2 + -2x + 13 Multiply (-1 + x) * (3 + x) (-1(3 + x) + x(3 + x)) = x2 + -2x + 13 ((3 * -1 + x * -1) + x(3 + x)) = x2 + -2x + 13 ((-3 + -1x) + x(3 + x)) = x2 + -2x + 13 (-3 + -1x + (3 * x + x * x)) = x2 + -2x + 13 (-3 + -1x + (3x + x2)) = x2 + -2x + 13 Combine like terms: -1x + 3x = 2x (-3 + 2x + x2) = x2 + -2x + 13 Reorder the terms: -3 + 2x + x2 = 13 + -2x + x2 Add '-1x2' to each side of the equation. -3 + 2x + x2 + -1x2 = 13 + -2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -3 + 2x + 0 = 13 + -2x + x2 + -1x2 -3 + 2x = 13 + -2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -3 + 2x = 13 + -2x + 0 -3 + 2x = 13 + -2x Solving -3 + 2x = 13 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -3 + 2x + 2x = 13 + -2x + 2x Combine like terms: 2x + 2x = 4x -3 + 4x = 13 + -2x + 2x Combine like terms: -2x + 2x = 0 -3 + 4x = 13 + 0 -3 + 4x = 13 Add '3' to each side of the equation. -3 + 3 + 4x = 13 + 3 Combine like terms: -3 + 3 = 0 0 + 4x = 13 + 3 4x = 13 + 3 Combine like terms: 13 + 3 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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