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Simplifying (x + -3)(x + -6) = (x + -7)(x + 5) Reorder the terms: (-3 + x)(x + -6) = (x + -7)(x + 5) Reorder the terms: (-3 + x)(-6 + x) = (x + -7)(x + 5) Multiply (-3 + x) * (-6 + x) (-3(-6 + x) + x(-6 + x)) = (x + -7)(x + 5) ((-6 * -3 + x * -3) + x(-6 + x)) = (x + -7)(x + 5) ((18 + -3x) + x(-6 + x)) = (x + -7)(x + 5) (18 + -3x + (-6 * x + x * x)) = (x + -7)(x + 5) (18 + -3x + (-6x + x2)) = (x + -7)(x + 5) Combine like terms: -3x + -6x = -9x (18 + -9x + x2) = (x + -7)(x + 5) Reorder the terms: 18 + -9x + x2 = (-7 + x)(x + 5) Reorder the terms: 18 + -9x + x2 = (-7 + x)(5 + x) Multiply (-7 + x) * (5 + x) 18 + -9x + x2 = (-7(5 + x) + x(5 + x)) 18 + -9x + x2 = ((5 * -7 + x * -7) + x(5 + x)) 18 + -9x + x2 = ((-35 + -7x) + x(5 + x)) 18 + -9x + x2 = (-35 + -7x + (5 * x + x * x)) 18 + -9x + x2 = (-35 + -7x + (5x + x2)) Combine like terms: -7x + 5x = -2x 18 + -9x + x2 = (-35 + -2x + x2) Add '-1x2' to each side of the equation. 18 + -9x + x2 + -1x2 = -35 + -2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 18 + -9x + 0 = -35 + -2x + x2 + -1x2 18 + -9x = -35 + -2x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 18 + -9x = -35 + -2x + 0 18 + -9x = -35 + -2x Solving 18 + -9x = -35 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 18 + -9x + 2x = -35 + -2x + 2x Combine like terms: -9x + 2x = -7x 18 + -7x = -35 + -2x + 2x Combine like terms: -2x + 2x = 0 18 + -7x = -35 + 0 18 + -7x = -35 Add '-18' to each side of the equation. 18 + -18 + -7x = -35 + -18 Combine like terms: 18 + -18 = 0 0 + -7x = -35 + -18 -7x = -35 + -18 Combine like terms: -35 + -18 = -53 -7x = -53 Divide each side by '-7'. x = 7.571428571 Simplifying x = 7.571428571
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