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Simplifying 3x + -4y + -1z = 1 Solving 3x + -4y + -1z = 1 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. 3x + -4y + 4y + -1z = 1 + 4y Combine like terms: -4y + 4y = 0 3x + 0 + -1z = 1 + 4y 3x + -1z = 1 + 4y Add 'z' to each side of the equation. 3x + -1z + z = 1 + 4y + z Combine like terms: -1z + z = 0 3x + 0 = 1 + 4y + z 3x = 1 + 4y + z Divide each side by '3'. x = 0.3333333333 + 1.333333333y + 0.3333333333z Simplifying x = 0.3333333333 + 1.333333333y + 0.3333333333z
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