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Simplifying 3x + -2y + 6z = 12 Solving 3x + -2y + 6z = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. 3x + -2y + 2y + 6z = 12 + 2y Combine like terms: -2y + 2y = 0 3x + 0 + 6z = 12 + 2y 3x + 6z = 12 + 2y Add '-6z' to each side of the equation. 3x + 6z + -6z = 12 + 2y + -6z Combine like terms: 6z + -6z = 0 3x + 0 = 12 + 2y + -6z 3x = 12 + 2y + -6z Divide each side by '3'. x = 4 + 0.6666666667y + -2z Simplifying x = 4 + 0.6666666667y + -2z
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