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