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Simplifying xy + xz + yz = yx + zy + zx Reorder the terms: xy + xz + yz = xy + xz + yz Add '-1xy' to each side of the equation. xy + xz + -1xy + yz = xy + xz + -1xy + yz Reorder the terms: xy + -1xy + xz + yz = xy + xz + -1xy + yz Combine like terms: xy + -1xy = 0 0 + xz + yz = xy + xz + -1xy + yz xz + yz = xy + xz + -1xy + yz Reorder the terms: xz + yz = xy + -1xy + xz + yz Combine like terms: xy + -1xy = 0 xz + yz = 0 + xz + yz xz + yz = xz + yz Add '-1xz' to each side of the equation. xz + -1xz + yz = xz + -1xz + yz Combine like terms: xz + -1xz = 0 0 + yz = xz + -1xz + yz yz = xz + -1xz + yz Combine like terms: xz + -1xz = 0 yz = 0 + yz yz = yz Add '-1yz' to each side of the equation. yz + -1yz = yz + -1yz Combine like terms: yz + -1yz = 0 0 = yz + -1yz Combine like terms: yz + -1yz = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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