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Simplifying (x + -6)(x + -9) = (x + 7)(x + 3) Reorder the terms: (-6 + x)(x + -9) = (x + 7)(x + 3) Reorder the terms: (-6 + x)(-9 + x) = (x + 7)(x + 3) Multiply (-6 + x) * (-9 + x) (-6(-9 + x) + x(-9 + x)) = (x + 7)(x + 3) ((-9 * -6 + x * -6) + x(-9 + x)) = (x + 7)(x + 3) ((54 + -6x) + x(-9 + x)) = (x + 7)(x + 3) (54 + -6x + (-9 * x + x * x)) = (x + 7)(x + 3) (54 + -6x + (-9x + x2)) = (x + 7)(x + 3) Combine like terms: -6x + -9x = -15x (54 + -15x + x2) = (x + 7)(x + 3) Reorder the terms: 54 + -15x + x2 = (7 + x)(x + 3) Reorder the terms: 54 + -15x + x2 = (7 + x)(3 + x) Multiply (7 + x) * (3 + x) 54 + -15x + x2 = (7(3 + x) + x(3 + x)) 54 + -15x + x2 = ((3 * 7 + x * 7) + x(3 + x)) 54 + -15x + x2 = ((21 + 7x) + x(3 + x)) 54 + -15x + x2 = (21 + 7x + (3 * x + x * x)) 54 + -15x + x2 = (21 + 7x + (3x + x2)) Combine like terms: 7x + 3x = 10x 54 + -15x + x2 = (21 + 10x + x2) Add '-1x2' to each side of the equation. 54 + -15x + x2 + -1x2 = 21 + 10x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 54 + -15x + 0 = 21 + 10x + x2 + -1x2 54 + -15x = 21 + 10x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 54 + -15x = 21 + 10x + 0 54 + -15x = 21 + 10x Solving 54 + -15x = 21 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 54 + -15x + -10x = 21 + 10x + -10x Combine like terms: -15x + -10x = -25x 54 + -25x = 21 + 10x + -10x Combine like terms: 10x + -10x = 0 54 + -25x = 21 + 0 54 + -25x = 21 Add '-54' to each side of the equation. 54 + -54 + -25x = 21 + -54 Combine like terms: 54 + -54 = 0 0 + -25x = 21 + -54 -25x = 21 + -54 Combine like terms: 21 + -54 = -33 -25x = -33 Divide each side by '-25'. x = 1.32 Simplifying x = 1.32
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