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Simplifying x2 + y2 + -6X + 14y + -23 = 0 Reorder the terms: -23 + -6X + x2 + 14y + y2 = 0 Solving -23 + -6X + x2 + 14y + y2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '23' to each side of the equation. -23 + -6X + x2 + 14y + 23 + y2 = 0 + 23 Reorder the terms: -23 + 23 + -6X + x2 + 14y + y2 = 0 + 23 Combine like terms: -23 + 23 = 0 0 + -6X + x2 + 14y + y2 = 0 + 23 -6X + x2 + 14y + y2 = 0 + 23 Combine like terms: 0 + 23 = 23 -6X + x2 + 14y + y2 = 23 Add '-1x2' to each side of the equation. -6X + x2 + 14y + -1x2 + y2 = 23 + -1x2 Reorder the terms: -6X + x2 + -1x2 + 14y + y2 = 23 + -1x2 Combine like terms: x2 + -1x2 = 0 -6X + 0 + 14y + y2 = 23 + -1x2 -6X + 14y + y2 = 23 + -1x2 Add '-14y' to each side of the equation. -6X + 14y + -14y + y2 = 23 + -1x2 + -14y Combine like terms: 14y + -14y = 0 -6X + 0 + y2 = 23 + -1x2 + -14y -6X + y2 = 23 + -1x2 + -14y Add '-1y2' to each side of the equation. -6X + y2 + -1y2 = 23 + -1x2 + -14y + -1y2 Combine like terms: y2 + -1y2 = 0 -6X + 0 = 23 + -1x2 + -14y + -1y2 -6X = 23 + -1x2 + -14y + -1y2 Divide each side by '-6'. X = -3.833333333 + 0.1666666667x2 + 2.333333333y + 0.1666666667y2 Simplifying X = -3.833333333 + 0.1666666667x2 + 2.333333333y + 0.1666666667y2
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