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Simplifying (x + 2)(x + -5) = x2 + -6x + -7 Reorder the terms: (2 + x)(x + -5) = x2 + -6x + -7 Reorder the terms: (2 + x)(-5 + x) = x2 + -6x + -7 Multiply (2 + x) * (-5 + x) (2(-5 + x) + x(-5 + x)) = x2 + -6x + -7 ((-5 * 2 + x * 2) + x(-5 + x)) = x2 + -6x + -7 ((-10 + 2x) + x(-5 + x)) = x2 + -6x + -7 (-10 + 2x + (-5 * x + x * x)) = x2 + -6x + -7 (-10 + 2x + (-5x + x2)) = x2 + -6x + -7 Combine like terms: 2x + -5x = -3x (-10 + -3x + x2) = x2 + -6x + -7 Reorder the terms: -10 + -3x + x2 = -7 + -6x + x2 Add '-1x2' to each side of the equation. -10 + -3x + x2 + -1x2 = -7 + -6x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -10 + -3x + 0 = -7 + -6x + x2 + -1x2 -10 + -3x = -7 + -6x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -10 + -3x = -7 + -6x + 0 -10 + -3x = -7 + -6x Solving -10 + -3x = -7 + -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 = -7 + -6x + 6x Combine like terms: -3x + 6x = 3x -10 + 3x = -7 + -6x + 6x Combine like terms: -6x + 6x = 0 -10 + 3x = -7 + 0 -10 + 3x = -7 Add '10' to each side of the equation. -10 + 10 + 3x = -7 + 10 Combine like terms: -10 + 10 = 0 0 + 3x = -7 + 10 3x = -7 + 10 Combine like terms: -7 + 10 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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