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Simplifying X + 6y + -2z + -5y + 3z = 0 Reorder the terms: X + 6y + -5y + -2z + 3z = 0 Combine like terms: 6y + -5y = 1y X + 1y + -2z + 3z = 0 Combine like terms: -2z + 3z = 1z X + 1y + 1z = 0 Solving X + 1y + 1z = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-1y' to each side of the equation. X + 1y + -1y + 1z = 0 + -1y Combine like terms: 1y + -1y = 0 X + 0 + 1z = 0 + -1y X + 1z = 0 + -1y Remove the zero: X + 1z = -1y Add '-1z' to each side of the equation. X + 1z + -1z = -1y + -1z Combine like terms: 1z + -1z = 0 X + 0 = -1y + -1z X = -1y + -1z Simplifying X = -1y + -1z
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