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Simplifying 3x + -2y + -1z = 8 Solving 3x + -2y + -1z = 8 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. 3x + -2y + 2y + -1z = 8 + 2y Combine like terms: -2y + 2y = 0 3x + 0 + -1z = 8 + 2y 3x + -1z = 8 + 2y Add 'z' to each side of the equation. 3x + -1z + z = 8 + 2y + z Combine like terms: -1z + z = 0 3x + 0 = 8 + 2y + z 3x = 8 + 2y + z Divide each side by '3'. x = 2.666666667 + 0.6666666667y + 0.3333333333z Simplifying x = 2.666666667 + 0.6666666667y + 0.3333333333z
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