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