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Simplifying x2 + -12x + 36 + y2 + -8y + 16 = x2 + -6x + 9 + y2 + -14y + 49 Reorder the terms: 36 + 16 + -12x + x2 + -8y + y2 = x2 + -6x + 9 + y2 + -14y + 49 Combine like terms: 36 + 16 = 52 52 + -12x + x2 + -8y + y2 = x2 + -6x + 9 + y2 + -14y + 49 Reorder the terms: 52 + -12x + x2 + -8y + y2 = 9 + 49 + -6x + x2 + -14y + y2 Combine like terms: 9 + 49 = 58 52 + -12x + x2 + -8y + y2 = 58 + -6x + x2 + -14y + y2 Add '-1x2' to each side of the equation. 52 + -12x + x2 + -8y + -1x2 + y2 = 58 + -6x + x2 + -14y + -1x2 + y2 Reorder the terms: 52 + -12x + x2 + -1x2 + -8y + y2 = 58 + -6x + x2 + -14y + -1x2 + y2 Combine like terms: x2 + -1x2 = 0 52 + -12x + 0 + -8y + y2 = 58 + -6x + x2 + -14y + -1x2 + y2 52 + -12x + -8y + y2 = 58 + -6x + x2 + -14y + -1x2 + y2 Reorder the terms: 52 + -12x + -8y + y2 = 58 + -6x + x2 + -1x2 + -14y + y2 Combine like terms: x2 + -1x2 = 0 52 + -12x + -8y + y2 = 58 + -6x + 0 + -14y + y2 52 + -12x + -8y + y2 = 58 + -6x + -14y + y2 Add '-1y2' to each side of the equation. 52 + -12x + -8y + y2 + -1y2 = 58 + -6x + -14y + y2 + -1y2 Combine like terms: y2 + -1y2 = 0 52 + -12x + -8y + 0 = 58 + -6x + -14y + y2 + -1y2 52 + -12x + -8y = 58 + -6x + -14y + y2 + -1y2 Combine like terms: y2 + -1y2 = 0 52 + -12x + -8y = 58 + -6x + -14y + 0 52 + -12x + -8y = 58 + -6x + -14y Solving 52 + -12x + -8y = 58 + -6x + -14y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 52 + -12x + 6x + -8y = 58 + -6x + 6x + -14y Combine like terms: -12x + 6x = -6x 52 + -6x + -8y = 58 + -6x + 6x + -14y Combine like terms: -6x + 6x = 0 52 + -6x + -8y = 58 + 0 + -14y 52 + -6x + -8y = 58 + -14y Add '-52' to each side of the equation. 52 + -6x + -52 + -8y = 58 + -52 + -14y Reorder the terms: 52 + -52 + -6x + -8y = 58 + -52 + -14y Combine like terms: 52 + -52 = 0 0 + -6x + -8y = 58 + -52 + -14y -6x + -8y = 58 + -52 + -14y Combine like terms: 58 + -52 = 6 -6x + -8y = 6 + -14y Add '8y' to each side of the equation. -6x + -8y + 8y = 6 + -14y + 8y Combine like terms: -8y + 8y = 0 -6x + 0 = 6 + -14y + 8y -6x = 6 + -14y + 8y Combine like terms: -14y + 8y = -6y -6x = 6 + -6y Divide each side by '-6'. x = -1 + y Simplifying x = -1 + y
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