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Simplifying 6x + -3y + 6z = -12 Solving 6x + -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. 6x + -3y + 3y + 6z = -12 + 3y Combine like terms: -3y + 3y = 0 6x + 0 + 6z = -12 + 3y 6x + 6z = -12 + 3y Add '-6z' to each side of the equation. 6x + 6z + -6z = -12 + 3y + -6z Combine like terms: 6z + -6z = 0 6x + 0 = -12 + 3y + -6z 6x = -12 + 3y + -6z Divide each side by '6'. x = -2 + 0.5y + -1z Simplifying x = -2 + 0.5y + -1z
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