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Simplifying 9x + 3y + -6z = 12 Solving 9x + 3y + -6z = 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. 9x + 3y + -3y + -6z = 12 + -3y Combine like terms: 3y + -3y = 0 9x + 0 + -6z = 12 + -3y 9x + -6z = 12 + -3y Add '6z' to each side of the equation. 9x + -6z + 6z = 12 + -3y + 6z Combine like terms: -6z + 6z = 0 9x + 0 = 12 + -3y + 6z 9x = 12 + -3y + 6z Divide each side by '9'. x = 1.333333333 + -0.3333333333y + 0.6666666667z Simplifying x = 1.333333333 + -0.3333333333y + 0.6666666667z
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