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Simplifying (x + -5)(x + -6) = x2 + 3x + 7 Reorder the terms: (-5 + x)(x + -6) = x2 + 3x + 7 Reorder the terms: (-5 + x)(-6 + x) = x2 + 3x + 7 Multiply (-5 + x) * (-6 + x) (-5(-6 + x) + x(-6 + x)) = x2 + 3x + 7 ((-6 * -5 + x * -5) + x(-6 + x)) = x2 + 3x + 7 ((30 + -5x) + x(-6 + x)) = x2 + 3x + 7 (30 + -5x + (-6 * x + x * x)) = x2 + 3x + 7 (30 + -5x + (-6x + x2)) = x2 + 3x + 7 Combine like terms: -5x + -6x = -11x (30 + -11x + x2) = x2 + 3x + 7 Reorder the terms: 30 + -11x + x2 = 7 + 3x + x2 Add '-1x2' to each side of the equation. 30 + -11x + x2 + -1x2 = 7 + 3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 30 + -11x + 0 = 7 + 3x + x2 + -1x2 30 + -11x = 7 + 3x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 30 + -11x = 7 + 3x + 0 30 + -11x = 7 + 3x Solving 30 + -11x = 7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 30 + -11x + -3x = 7 + 3x + -3x Combine like terms: -11x + -3x = -14x 30 + -14x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 30 + -14x = 7 + 0 30 + -14x = 7 Add '-30' to each side of the equation. 30 + -30 + -14x = 7 + -30 Combine like terms: 30 + -30 = 0 0 + -14x = 7 + -30 -14x = 7 + -30 Combine like terms: 7 + -30 = -23 -14x = -23 Divide each side by '-14'. x = 1.642857143 Simplifying x = 1.642857143
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