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Simplifying (x + 1)(2x + 3) = (2x + 1)(x + -1) Reorder the terms: (1 + x)(2x + 3) = (2x + 1)(x + -1) Reorder the terms: (1 + x)(3 + 2x) = (2x + 1)(x + -1) Multiply (1 + x) * (3 + 2x) (1(3 + 2x) + x(3 + 2x)) = (2x + 1)(x + -1) ((3 * 1 + 2x * 1) + x(3 + 2x)) = (2x + 1)(x + -1) ((3 + 2x) + x(3 + 2x)) = (2x + 1)(x + -1) (3 + 2x + (3 * x + 2x * x)) = (2x + 1)(x + -1) (3 + 2x + (3x + 2x2)) = (2x + 1)(x + -1) Combine like terms: 2x + 3x = 5x (3 + 5x + 2x2) = (2x + 1)(x + -1) Reorder the terms: 3 + 5x + 2x2 = (1 + 2x)(x + -1) Reorder the terms: 3 + 5x + 2x2 = (1 + 2x)(-1 + x) Multiply (1 + 2x) * (-1 + x) 3 + 5x + 2x2 = (1(-1 + x) + 2x * (-1 + x)) 3 + 5x + 2x2 = ((-1 * 1 + x * 1) + 2x * (-1 + x)) 3 + 5x + 2x2 = ((-1 + 1x) + 2x * (-1 + x)) 3 + 5x + 2x2 = (-1 + 1x + (-1 * 2x + x * 2x)) 3 + 5x + 2x2 = (-1 + 1x + (-2x + 2x2)) Combine like terms: 1x + -2x = -1x 3 + 5x + 2x2 = (-1 + -1x + 2x2) Add '-2x2' to each side of the equation. 3 + 5x + 2x2 + -2x2 = -1 + -1x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 3 + 5x + 0 = -1 + -1x + 2x2 + -2x2 3 + 5x = -1 + -1x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 3 + 5x = -1 + -1x + 0 3 + 5x = -1 + -1x Solving 3 + 5x = -1 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 3 + 5x + x = -1 + -1x + x Combine like terms: 5x + x = 6x 3 + 6x = -1 + -1x + x Combine like terms: -1x + x = 0 3 + 6x = -1 + 0 3 + 6x = -1 Add '-3' to each side of the equation. 3 + -3 + 6x = -1 + -3 Combine like terms: 3 + -3 = 0 0 + 6x = -1 + -3 6x = -1 + -3 Combine like terms: -1 + -3 = -4 6x = -4 Divide each side by '6'. x = -0.6666666667 Simplifying x = -0.6666666667
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