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Simplifying 3x + 4y + -6z = 12 Solving 3x + 4y + -6z = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4y' to each side of the equation. 3x + 4y + -4y + -6z = 12 + -4y Combine like terms: 4y + -4y = 0 3x + 0 + -6z = 12 + -4y 3x + -6z = 12 + -4y Add '6z' to each side of the equation. 3x + -6z + 6z = 12 + -4y + 6z Combine like terms: -6z + 6z = 0 3x + 0 = 12 + -4y + 6z 3x = 12 + -4y + 6z Divide each side by '3'. x = 4 + -1.333333333y + 2z Simplifying x = 4 + -1.333333333y + 2z
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