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