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