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Simplifying 6x + -3y + 2z = 12 Solving 6x + -3y + 2z = 12 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. 6x + -3y + 3y + 2z = 12 + 3y Combine like terms: -3y + 3y = 0 6x + 0 + 2z = 12 + 3y 6x + 2z = 12 + 3y Add '-2z' to each side of the equation. 6x + 2z + -2z = 12 + 3y + -2z Combine like terms: 2z + -2z = 0 6x + 0 = 12 + 3y + -2z 6x = 12 + 3y + -2z Divide each side by '6'. x = 2 + 0.5y + -0.3333333333z Simplifying x = 2 + 0.5y + -0.3333333333z
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