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Simplifying (x + 5)(x + -2) = x2 + 4x + 4 Reorder the terms: (5 + x)(x + -2) = x2 + 4x + 4 Reorder the terms: (5 + x)(-2 + x) = x2 + 4x + 4 Multiply (5 + x) * (-2 + x) (5(-2 + x) + x(-2 + x)) = x2 + 4x + 4 ((-2 * 5 + x * 5) + x(-2 + x)) = x2 + 4x + 4 ((-10 + 5x) + x(-2 + x)) = x2 + 4x + 4 (-10 + 5x + (-2 * x + x * x)) = x2 + 4x + 4 (-10 + 5x + (-2x + x2)) = x2 + 4x + 4 Combine like terms: 5x + -2x = 3x (-10 + 3x + x2) = x2 + 4x + 4 Reorder the terms: -10 + 3x + x2 = 4 + 4x + x2 Add '-1x2' to each side of the equation. -10 + 3x + x2 + -1x2 = 4 + 4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -10 + 3x + 0 = 4 + 4x + x2 + -1x2 -10 + 3x = 4 + 4x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -10 + 3x = 4 + 4x + 0 -10 + 3x = 4 + 4x Solving -10 + 3x = 4 + 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. -10 + 3x + -4x = 4 + 4x + -4x Combine like terms: 3x + -4x = -1x -10 + -1x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 -10 + -1x = 4 + 0 -10 + -1x = 4 Add '10' to each side of the equation. -10 + 10 + -1x = 4 + 10 Combine like terms: -10 + 10 = 0 0 + -1x = 4 + 10 -1x = 4 + 10 Combine like terms: 4 + 10 = 14 -1x = 14 Divide each side by '-1'. x = -14 Simplifying x = -14
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