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Simplifying 2x + -3y + 6z = 12 Solving 2x + -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. 2x + -3y + 3y + 6z = 12 + 3y Combine like terms: -3y + 3y = 0 2x + 0 + 6z = 12 + 3y 2x + 6z = 12 + 3y Add '-6z' to each side of the equation. 2x + 6z + -6z = 12 + 3y + -6z Combine like terms: 6z + -6z = 0 2x + 0 = 12 + 3y + -6z 2x = 12 + 3y + -6z Divide each side by '2'. x = 6 + 1.5y + -3z Simplifying x = 6 + 1.5y + -3z
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