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Simplifying x2 + y2 + z2 + -6z + -7 = 0 Reorder the terms: -7 + x2 + y2 + -6z + z2 = 0 Solving -7 + x2 + y2 + -6z + z2 = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + x2 + y2 + -6z + 7 + z2 = 0 + 7 Reorder the terms: -7 + 7 + x2 + y2 + -6z + z2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + x2 + y2 + -6z + z2 = 0 + 7 x2 + y2 + -6z + z2 = 0 + 7 Combine like terms: 0 + 7 = 7 x2 + y2 + -6z + z2 = 7 Add '-1y2' to each side of the equation. x2 + y2 + -6z + -1y2 + z2 = 7 + -1y2 Reorder the terms: x2 + y2 + -1y2 + -6z + z2 = 7 + -1y2 Combine like terms: y2 + -1y2 = 0 x2 + 0 + -6z + z2 = 7 + -1y2 x2 + -6z + z2 = 7 + -1y2 Add '6z' to each side of the equation. x2 + -6z + 6z + z2 = 7 + -1y2 + 6z Combine like terms: -6z + 6z = 0 x2 + 0 + z2 = 7 + -1y2 + 6z x2 + z2 = 7 + -1y2 + 6z Add '-1z2' to each side of the equation. x2 + z2 + -1z2 = 7 + -1y2 + 6z + -1z2 Combine like terms: z2 + -1z2 = 0 x2 + 0 = 7 + -1y2 + 6z + -1z2 x2 = 7 + -1y2 + 6z + -1z2 Simplifying x2 = 7 + -1y2 + 6z + -1z2 Reorder the terms: -7 + x2 + y2 + -6z + z2 = 7 + -1y2 + 6z + -1z2 + -7 + y2 + -6z + z2 Reorder the terms: -7 + x2 + y2 + -6z + z2 = 7 + -7 + -1y2 + y2 + 6z + -6z + -1z2 + z2 Combine like terms: 7 + -7 = 0 -7 + x2 + y2 + -6z + z2 = 0 + -1y2 + y2 + 6z + -6z + -1z2 + z2 -7 + x2 + y2 + -6z + z2 = -1y2 + y2 + 6z + -6z + -1z2 + z2 Combine like terms: -1y2 + y2 = 0 -7 + x2 + y2 + -6z + z2 = 0 + 6z + -6z + -1z2 + z2 -7 + x2 + y2 + -6z + z2 = 6z + -6z + -1z2 + z2 Combine like terms: 6z + -6z = 0 -7 + x2 + y2 + -6z + z2 = 0 + -1z2 + z2 -7 + x2 + y2 + -6z + z2 = -1z2 + z2 Combine like terms: -1z2 + z2 = 0 -7 + x2 + y2 + -6z + z2 = 0 The solution to this equation could not be determined.
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