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Simplifying 5(x + -1y) + z(y + -1x) = 0 (x * 5 + -1y * 5) + z(y + -1x) = 0 (5x + -5y) + z(y + -1x) = 0 Reorder the terms: 5x + -5y + z(-1x + y) = 0 5x + -5y + (-1x * z + y * z) = 0 5x + -5y + (-1xz + yz) = 0 Reorder the terms: 5x + -1xz + -5y + yz = 0 Solving 5x + -1xz + -5y + yz = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5y' to each side of the equation. 5x + -1xz + -5y + 5y + yz = 0 + 5y Combine like terms: -5y + 5y = 0 5x + -1xz + 0 + yz = 0 + 5y 5x + -1xz + yz = 0 + 5y Remove the zero: 5x + -1xz + yz = 5y Add '-1yz' to each side of the equation. 5x + -1xz + yz + -1yz = 5y + -1yz Combine like terms: yz + -1yz = 0 5x + -1xz + 0 = 5y + -1yz 5x + -1xz = 5y + -1yz Reorder the terms: 5x + -1xz + -5y + yz = 5y + -5y + -1yz + yz Combine like terms: 5y + -5y = 0 5x + -1xz + -5y + yz = 0 + -1yz + yz 5x + -1xz + -5y + yz = -1yz + yz Combine like terms: -1yz + yz = 0 5x + -1xz + -5y + yz = 0 The solution to this equation could not be determined.
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