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Simplifying (X + -2) * 2 + -8 + x = x(x + -6) Reorder the terms: (-2 + X) * 2 + -8 + x = x(x + -6) Reorder the terms for easier multiplication: 2(-2 + X) + -8 + x = x(x + -6) (-2 * 2 + X * 2) + -8 + x = x(x + -6) (-4 + 2X) + -8 + x = x(x + -6) Reorder the terms: -4 + -8 + 2X + x = x(x + -6) Combine like terms: -4 + -8 = -12 -12 + 2X + x = x(x + -6) Reorder the terms: -12 + 2X + x = x(-6 + x) -12 + 2X + x = (-6 * x + x * x) -12 + 2X + x = (-6x + x2) Solving -12 + 2X + x = -6x + x2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 2X + 12 + x = -6x + 12 + x2 Reorder the terms: -12 + 12 + 2X + x = -6x + 12 + x2 Combine like terms: -12 + 12 = 0 0 + 2X + x = -6x + 12 + x2 2X + x = -6x + 12 + x2 Reorder the terms: 2X + x = 12 + -6x + x2 Add '-1x' to each side of the equation. 2X + x + -1x = 12 + -6x + -1x + x2 Combine like terms: x + -1x = 0 2X + 0 = 12 + -6x + -1x + x2 2X = 12 + -6x + -1x + x2 Combine like terms: -6x + -1x = -7x 2X = 12 + -7x + x2 Divide each side by '2'. X = 6 + -3.5x + 0.5x2 Simplifying X = 6 + -3.5x + 0.5x2
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