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Simplifying (x + 2)(x + -5) = 6x + x2 + -5 Reorder the terms: (2 + x)(x + -5) = 6x + x2 + -5 Reorder the terms: (2 + x)(-5 + x) = 6x + x2 + -5 Multiply (2 + x) * (-5 + x) (2(-5 + x) + x(-5 + x)) = 6x + x2 + -5 ((-5 * 2 + x * 2) + x(-5 + x)) = 6x + x2 + -5 ((-10 + 2x) + x(-5 + x)) = 6x + x2 + -5 (-10 + 2x + (-5 * x + x * x)) = 6x + x2 + -5 (-10 + 2x + (-5x + x2)) = 6x + x2 + -5 Combine like terms: 2x + -5x = -3x (-10 + -3x + x2) = 6x + x2 + -5 Reorder the terms: -10 + -3x + x2 = -5 + 6x + x2 Add '-1x2' to each side of the equation. -10 + -3x + x2 + -1x2 = -5 + 6x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -10 + -3x + 0 = -5 + 6x + x2 + -1x2 -10 + -3x = -5 + 6x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -10 + -3x = -5 + 6x + 0 -10 + -3x = -5 + 6x Solving -10 + -3x = -5 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -10 + -3x + -6x = -5 + 6x + -6x Combine like terms: -3x + -6x = -9x -10 + -9x = -5 + 6x + -6x Combine like terms: 6x + -6x = 0 -10 + -9x = -5 + 0 -10 + -9x = -5 Add '10' to each side of the equation. -10 + 10 + -9x = -5 + 10 Combine like terms: -10 + 10 = 0 0 + -9x = -5 + 10 -9x = -5 + 10 Combine like terms: -5 + 10 = 5 -9x = 5 Divide each side by '-9'. x = -0.5555555556 Simplifying x = -0.5555555556
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