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Simplifying (x + 3)(2x + -1) + 3 = 2x2 + -3x + -1 Reorder the terms: (3 + x)(2x + -1) + 3 = 2x2 + -3x + -1 Reorder the terms: (3 + x)(-1 + 2x) + 3 = 2x2 + -3x + -1 Multiply (3 + x) * (-1 + 2x) (3(-1 + 2x) + x(-1 + 2x)) + 3 = 2x2 + -3x + -1 ((-1 * 3 + 2x * 3) + x(-1 + 2x)) + 3 = 2x2 + -3x + -1 ((-3 + 6x) + x(-1 + 2x)) + 3 = 2x2 + -3x + -1 (-3 + 6x + (-1 * x + 2x * x)) + 3 = 2x2 + -3x + -1 (-3 + 6x + (-1x + 2x2)) + 3 = 2x2 + -3x + -1 Combine like terms: 6x + -1x = 5x (-3 + 5x + 2x2) + 3 = 2x2 + -3x + -1 Reorder the terms: -3 + 3 + 5x + 2x2 = 2x2 + -3x + -1 Combine like terms: -3 + 3 = 0 0 + 5x + 2x2 = 2x2 + -3x + -1 5x + 2x2 = 2x2 + -3x + -1 Reorder the terms: 5x + 2x2 = -1 + -3x + 2x2 Add '-2x2' to each side of the equation. 5x + 2x2 + -2x2 = -1 + -3x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 5x + 0 = -1 + -3x + 2x2 + -2x2 5x = -1 + -3x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 5x = -1 + -3x + 0 5x = -1 + -3x Solving 5x = -1 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 5x + 3x = -1 + -3x + 3x Combine like terms: 5x + 3x = 8x 8x = -1 + -3x + 3x Combine like terms: -3x + 3x = 0 8x = -1 + 0 8x = -1 Divide each side by '8'. x = -0.125 Simplifying x = -0.125
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