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Simplifying (x + -7)(x + 2) = x2 + 4x + 13 Reorder the terms: (-7 + x)(x + 2) = x2 + 4x + 13 Reorder the terms: (-7 + x)(2 + x) = x2 + 4x + 13 Multiply (-7 + x) * (2 + x) (-7(2 + x) + x(2 + x)) = x2 + 4x + 13 ((2 * -7 + x * -7) + x(2 + x)) = x2 + 4x + 13 ((-14 + -7x) + x(2 + x)) = x2 + 4x + 13 (-14 + -7x + (2 * x + x * x)) = x2 + 4x + 13 (-14 + -7x + (2x + x2)) = x2 + 4x + 13 Combine like terms: -7x + 2x = -5x (-14 + -5x + x2) = x2 + 4x + 13 Reorder the terms: -14 + -5x + x2 = 13 + 4x + x2 Add '-1x2' to each side of the equation. -14 + -5x + x2 + -1x2 = 13 + 4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -14 + -5x + 0 = 13 + 4x + x2 + -1x2 -14 + -5x = 13 + 4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -14 + -5x = 13 + 4x + 0 -14 + -5x = 13 + 4x Solving -14 + -5x = 13 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -14 + -5x + -4x = 13 + 4x + -4x Combine like terms: -5x + -4x = -9x -14 + -9x = 13 + 4x + -4x Combine like terms: 4x + -4x = 0 -14 + -9x = 13 + 0 -14 + -9x = 13 Add '14' to each side of the equation. -14 + 14 + -9x = 13 + 14 Combine like terms: -14 + 14 = 0 0 + -9x = 13 + 14 -9x = 13 + 14 Combine like terms: 13 + 14 = 27 -9x = 27 Divide each side by '-9'. x = -3 Simplifying x = -3
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