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Simplifying y2 + 2x + 8y + 13 = 0 Reorder the terms: 13 + 2x + 8y + y2 = 0 Solving 13 + 2x + 8y + y2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + 2x + 8y + -13 + y2 = 0 + -13 Reorder the terms: 13 + -13 + 2x + 8y + y2 = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 2x + 8y + y2 = 0 + -13 2x + 8y + y2 = 0 + -13 Combine like terms: 0 + -13 = -13 2x + 8y + y2 = -13 Add '-8y' to each side of the equation. 2x + 8y + -8y + y2 = -13 + -8y Combine like terms: 8y + -8y = 0 2x + 0 + y2 = -13 + -8y 2x + y2 = -13 + -8y Add '-1y2' to each side of the equation. 2x + y2 + -1y2 = -13 + -8y + -1y2 Combine like terms: y2 + -1y2 = 0 2x + 0 = -13 + -8y + -1y2 2x = -13 + -8y + -1y2 Divide each side by '2'. x = -6.5 + -4y + -0.5y2 Simplifying x = -6.5 + -4y + -0.5y2
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