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Simplifying (2x + -1)(x + 3) = 2x2 + x + -15 Reorder the terms: (-1 + 2x)(x + 3) = 2x2 + x + -15 Reorder the terms: (-1 + 2x)(3 + x) = 2x2 + x + -15 Multiply (-1 + 2x) * (3 + x) (-1(3 + x) + 2x * (3 + x)) = 2x2 + x + -15 ((3 * -1 + x * -1) + 2x * (3 + x)) = 2x2 + x + -15 ((-3 + -1x) + 2x * (3 + x)) = 2x2 + x + -15 (-3 + -1x + (3 * 2x + x * 2x)) = 2x2 + x + -15 (-3 + -1x + (6x + 2x2)) = 2x2 + x + -15 Combine like terms: -1x + 6x = 5x (-3 + 5x + 2x2) = 2x2 + x + -15 Reorder the terms: -3 + 5x + 2x2 = -15 + x + 2x2 Add '-2x2' to each side of the equation. -3 + 5x + 2x2 + -2x2 = -15 + x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -3 + 5x + 0 = -15 + x + 2x2 + -2x2 -3 + 5x = -15 + x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -3 + 5x = -15 + x + 0 -3 + 5x = -15 + x Solving -3 + 5x = -15 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -3 + 5x + -1x = -15 + x + -1x Combine like terms: 5x + -1x = 4x -3 + 4x = -15 + x + -1x Combine like terms: x + -1x = 0 -3 + 4x = -15 + 0 -3 + 4x = -15 Add '3' to each side of the equation. -3 + 3 + 4x = -15 + 3 Combine like terms: -3 + 3 = 0 0 + 4x = -15 + 3 4x = -15 + 3 Combine like terms: -15 + 3 = -12 4x = -12 Divide each side by '4'. x = -3 Simplifying x = -3
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