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Simplifying x2 + y2 + z2 = 20x + -8y + 12z + -143 Reorder the terms: x2 + y2 + z2 = -143 + 20x + -8y + 12z Solving x2 + y2 + z2 = -143 + 20x + -8y + 12z Solving for variable 'x'. Reorder the terms: 143 + -20x + x2 + 8y + y2 + -12z + z2 = -143 + 20x + -8y + 12z + 143 + -20x + 8y + -12z Reorder the terms: 143 + -20x + x2 + 8y + y2 + -12z + z2 = -143 + 143 + 20x + -20x + -8y + 8y + 12z + -12z Combine like terms: -143 + 143 = 0 143 + -20x + x2 + 8y + y2 + -12z + z2 = 0 + 20x + -20x + -8y + 8y + 12z + -12z 143 + -20x + x2 + 8y + y2 + -12z + z2 = 20x + -20x + -8y + 8y + 12z + -12z Combine like terms: 20x + -20x = 0 143 + -20x + x2 + 8y + y2 + -12z + z2 = 0 + -8y + 8y + 12z + -12z 143 + -20x + x2 + 8y + y2 + -12z + z2 = -8y + 8y + 12z + -12z Combine like terms: -8y + 8y = 0 143 + -20x + x2 + 8y + y2 + -12z + z2 = 0 + 12z + -12z 143 + -20x + x2 + 8y + y2 + -12z + z2 = 12z + -12z Combine like terms: 12z + -12z = 0 143 + -20x + x2 + 8y + y2 + -12z + z2 = 0 The solution to this equation could not be determined.
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