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Simplifying 3x + -3y + z = 6 Solving 3x + -3y + z = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. 3x + -3y + 3y + z = 6 + 3y Combine like terms: -3y + 3y = 0 3x + 0 + z = 6 + 3y 3x + z = 6 + 3y Add '-1z' to each side of the equation. 3x + z + -1z = 6 + 3y + -1z Combine like terms: z + -1z = 0 3x + 0 = 6 + 3y + -1z 3x = 6 + 3y + -1z Divide each side by '3'. x = 2 + y + -0.3333333333z Simplifying x = 2 + y + -0.3333333333z
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