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Simplifying X + y + -1z + 4x + -5y + 2z = 0 Reorder the terms: X + 4x + y + -5y + -1z + 2z = 0 Combine like terms: y + -5y = -4y X + 4x + -4y + -1z + 2z = 0 Combine like terms: -1z + 2z = 1z X + 4x + -4y + 1z = 0 Solving X + 4x + -4y + 1z = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-4x' to each side of the equation. X + 4x + -4y + -4x + 1z = 0 + -4x Reorder the terms: X + 4x + -4x + -4y + 1z = 0 + -4x Combine like terms: 4x + -4x = 0 X + 0 + -4y + 1z = 0 + -4x X + -4y + 1z = 0 + -4x Remove the zero: X + -4y + 1z = -4x Add '4y' to each side of the equation. X + -4y + 4y + 1z = -4x + 4y Combine like terms: -4y + 4y = 0 X + 0 + 1z = -4x + 4y X + 1z = -4x + 4y Add '-1z' to each side of the equation. X + 1z + -1z = -4x + 4y + -1z Combine like terms: 1z + -1z = 0 X + 0 = -4x + 4y + -1z X = -4x + 4y + -1z Simplifying X = -4x + 4y + -1z
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