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Simplifying (x + -3)(2x + 9) = (x + -1)(2x + -3) Reorder the terms: (-3 + x)(2x + 9) = (x + -1)(2x + -3) Reorder the terms: (-3 + x)(9 + 2x) = (x + -1)(2x + -3) Multiply (-3 + x) * (9 + 2x) (-3(9 + 2x) + x(9 + 2x)) = (x + -1)(2x + -3) ((9 * -3 + 2x * -3) + x(9 + 2x)) = (x + -1)(2x + -3) ((-27 + -6x) + x(9 + 2x)) = (x + -1)(2x + -3) (-27 + -6x + (9 * x + 2x * x)) = (x + -1)(2x + -3) (-27 + -6x + (9x + 2x2)) = (x + -1)(2x + -3) Combine like terms: -6x + 9x = 3x (-27 + 3x + 2x2) = (x + -1)(2x + -3) Reorder the terms: -27 + 3x + 2x2 = (-1 + x)(2x + -3) Reorder the terms: -27 + 3x + 2x2 = (-1 + x)(-3 + 2x) Multiply (-1 + x) * (-3 + 2x) -27 + 3x + 2x2 = (-1(-3 + 2x) + x(-3 + 2x)) -27 + 3x + 2x2 = ((-3 * -1 + 2x * -1) + x(-3 + 2x)) -27 + 3x + 2x2 = ((3 + -2x) + x(-3 + 2x)) -27 + 3x + 2x2 = (3 + -2x + (-3 * x + 2x * x)) -27 + 3x + 2x2 = (3 + -2x + (-3x + 2x2)) Combine like terms: -2x + -3x = -5x -27 + 3x + 2x2 = (3 + -5x + 2x2) Add '-2x2' to each side of the equation. -27 + 3x + 2x2 + -2x2 = 3 + -5x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -27 + 3x + 0 = 3 + -5x + 2x2 + -2x2 -27 + 3x = 3 + -5x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -27 + 3x = 3 + -5x + 0 -27 + 3x = 3 + -5x Solving -27 + 3x = 3 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -27 + 3x + 5x = 3 + -5x + 5x Combine like terms: 3x + 5x = 8x -27 + 8x = 3 + -5x + 5x Combine like terms: -5x + 5x = 0 -27 + 8x = 3 + 0 -27 + 8x = 3 Add '27' to each side of the equation. -27 + 27 + 8x = 3 + 27 Combine like terms: -27 + 27 = 0 0 + 8x = 3 + 27 8x = 3 + 27 Combine like terms: 3 + 27 = 30 8x = 30 Divide each side by '8'. x = 3.75 Simplifying x = 3.75
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