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Simplifying 3x + 2y + -1z = 6 Solving 3x + 2y + -1z = 6 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 = 6 + -2y Combine like terms: 2y + -2y = 0 3x + 0 + -1z = 6 + -2y 3x + -1z = 6 + -2y Add 'z' to each side of the equation. 3x + -1z + z = 6 + -2y + z Combine like terms: -1z + z = 0 3x + 0 = 6 + -2y + z 3x = 6 + -2y + z Divide each side by '3'. x = 2 + -0.6666666667y + 0.3333333333z Simplifying x = 2 + -0.6666666667y + 0.3333333333z
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