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Simplifying x + -4y + -1z = 6 Solving x + -4y + -1z = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4y' to each side of the equation. x + -4y + 4y + -1z = 6 + 4y Combine like terms: -4y + 4y = 0 x + 0 + -1z = 6 + 4y x + -1z = 6 + 4y Add 'z' to each side of the equation. x + -1z + z = 6 + 4y + z Combine like terms: -1z + z = 0 x + 0 = 6 + 4y + z x = 6 + 4y + z Simplifying x = 6 + 4y + z
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