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Simplifying x3 + y3 = z3 + 1 Reorder the terms: x3 + y3 = 1 + z3 Solving x3 + y3 = 1 + z3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1y3' to each side of the equation. x3 + y3 + -1y3 = 1 + -1y3 + z3 Combine like terms: y3 + -1y3 = 0 x3 + 0 = 1 + -1y3 + z3 x3 = 1 + -1y3 + z3 Simplifying x3 = 1 + -1y3 + z3 Reorder the terms: -1 + x3 + y3 + -1z3 = 1 + -1y3 + z3 + -1 + y3 + -1z3 Reorder the terms: -1 + x3 + y3 + -1z3 = 1 + -1 + -1y3 + y3 + z3 + -1z3 Combine like terms: 1 + -1 = 0 -1 + x3 + y3 + -1z3 = 0 + -1y3 + y3 + z3 + -1z3 -1 + x3 + y3 + -1z3 = -1y3 + y3 + z3 + -1z3 Combine like terms: -1y3 + y3 = 0 -1 + x3 + y3 + -1z3 = 0 + z3 + -1z3 -1 + x3 + y3 + -1z3 = z3 + -1z3 Combine like terms: z3 + -1z3 = 0 -1 + x3 + y3 + -1z3 = 0 The solution to this equation could not be determined.
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