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Simplifying (x + 2)(x + -3) = (x + 3)(x + 3) Reorder the terms: (2 + x)(x + -3) = (x + 3)(x + 3) Reorder the terms: (2 + x)(-3 + x) = (x + 3)(x + 3) Multiply (2 + x) * (-3 + x) (2(-3 + x) + x(-3 + x)) = (x + 3)(x + 3) ((-3 * 2 + x * 2) + x(-3 + x)) = (x + 3)(x + 3) ((-6 + 2x) + x(-3 + x)) = (x + 3)(x + 3) (-6 + 2x + (-3 * x + x * x)) = (x + 3)(x + 3) (-6 + 2x + (-3x + x2)) = (x + 3)(x + 3) Combine like terms: 2x + -3x = -1x (-6 + -1x + x2) = (x + 3)(x + 3) Reorder the terms: -6 + -1x + x2 = (3 + x)(x + 3) Reorder the terms: -6 + -1x + x2 = (3 + x)(3 + x) Multiply (3 + x) * (3 + x) -6 + -1x + x2 = (3(3 + x) + x(3 + x)) -6 + -1x + x2 = ((3 * 3 + x * 3) + x(3 + x)) -6 + -1x + x2 = ((9 + 3x) + x(3 + x)) -6 + -1x + x2 = (9 + 3x + (3 * x + x * x)) -6 + -1x + x2 = (9 + 3x + (3x + x2)) Combine like terms: 3x + 3x = 6x -6 + -1x + x2 = (9 + 6x + x2) Add '-1x2' to each side of the equation. -6 + -1x + x2 + -1x2 = 9 + 6x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -6 + -1x + 0 = 9 + 6x + x2 + -1x2 -6 + -1x = 9 + 6x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -6 + -1x = 9 + 6x + 0 -6 + -1x = 9 + 6x Solving -6 + -1x = 9 + 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. -6 + -1x + -6x = 9 + 6x + -6x Combine like terms: -1x + -6x = -7x -6 + -7x = 9 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + -7x = 9 + 0 -6 + -7x = 9 Add '6' to each side of the equation. -6 + 6 + -7x = 9 + 6 Combine like terms: -6 + 6 = 0 0 + -7x = 9 + 6 -7x = 9 + 6 Combine like terms: 9 + 6 = 15 -7x = 15 Divide each side by '-7'. x = -2.142857143 Simplifying x = -2.142857143
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