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