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Simplifying x2 + -8x + 16 + y2 + -12y + 36 = x2 + y2 + -8y + 16 Reorder the terms: 16 + 36 + -8x + x2 + -12y + y2 = x2 + y2 + -8y + 16 Combine like terms: 16 + 36 = 52 52 + -8x + x2 + -12y + y2 = x2 + y2 + -8y + 16 Reorder the terms: 52 + -8x + x2 + -12y + y2 = 16 + x2 + -8y + y2 Add '-1x2' to each side of the equation. 52 + -8x + x2 + -12y + -1x2 + y2 = 16 + x2 + -8y + -1x2 + y2 Reorder the terms: 52 + -8x + x2 + -1x2 + -12y + y2 = 16 + x2 + -8y + -1x2 + y2 Combine like terms: x2 + -1x2 = 0 52 + -8x + 0 + -12y + y2 = 16 + x2 + -8y + -1x2 + y2 52 + -8x + -12y + y2 = 16 + x2 + -8y + -1x2 + y2 Reorder the terms: 52 + -8x + -12y + y2 = 16 + x2 + -1x2 + -8y + y2 Combine like terms: x2 + -1x2 = 0 52 + -8x + -12y + y2 = 16 + 0 + -8y + y2 52 + -8x + -12y + y2 = 16 + -8y + y2 Add '-1y2' to each side of the equation. 52 + -8x + -12y + y2 + -1y2 = 16 + -8y + y2 + -1y2 Combine like terms: y2 + -1y2 = 0 52 + -8x + -12y + 0 = 16 + -8y + y2 + -1y2 52 + -8x + -12y = 16 + -8y + y2 + -1y2 Combine like terms: y2 + -1y2 = 0 52 + -8x + -12y = 16 + -8y + 0 52 + -8x + -12y = 16 + -8y Solving 52 + -8x + -12y = 16 + -8y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-52' to each side of the equation. 52 + -8x + -52 + -12y = 16 + -52 + -8y Reorder the terms: 52 + -52 + -8x + -12y = 16 + -52 + -8y Combine like terms: 52 + -52 = 0 0 + -8x + -12y = 16 + -52 + -8y -8x + -12y = 16 + -52 + -8y Combine like terms: 16 + -52 = -36 -8x + -12y = -36 + -8y Add '12y' to each side of the equation. -8x + -12y + 12y = -36 + -8y + 12y Combine like terms: -12y + 12y = 0 -8x + 0 = -36 + -8y + 12y -8x = -36 + -8y + 12y Combine like terms: -8y + 12y = 4y -8x = -36 + 4y Divide each side by '-8'. x = 4.5 + -0.5y Simplifying x = 4.5 + -0.5y
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