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Simplifying x2 + -2X + 1 = 2x2 + -12x + 18 Reorder the terms: 1 + -2X + x2 = 2x2 + -12x + 18 Reorder the terms: 1 + -2X + x2 = 18 + -12x + 2x2 Solving 1 + -2X + x2 = 18 + -12x + 2x2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -2X + -1 + x2 = 18 + -12x + -1 + 2x2 Reorder the terms: 1 + -1 + -2X + x2 = 18 + -12x + -1 + 2x2 Combine like terms: 1 + -1 = 0 0 + -2X + x2 = 18 + -12x + -1 + 2x2 -2X + x2 = 18 + -12x + -1 + 2x2 Reorder the terms: -2X + x2 = 18 + -1 + -12x + 2x2 Combine like terms: 18 + -1 = 17 -2X + x2 = 17 + -12x + 2x2 Add '-1x2' to each side of the equation. -2X + x2 + -1x2 = 17 + -12x + 2x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -2X + 0 = 17 + -12x + 2x2 + -1x2 -2X = 17 + -12x + 2x2 + -1x2 Combine like terms: 2x2 + -1x2 = 1x2 -2X = 17 + -12x + 1x2 Divide each side by '-2'. X = -8.5 + 6x + -0.5x2 Simplifying X = -8.5 + 6x + -0.5x2
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