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Simplifying 12x + 6y + 3z = 45 Solving 12x + 6y + 3z = 45 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. 12x + 6y + -6y + 3z = 45 + -6y Combine like terms: 6y + -6y = 0 12x + 0 + 3z = 45 + -6y 12x + 3z = 45 + -6y Add '-3z' to each side of the equation. 12x + 3z + -3z = 45 + -6y + -3z Combine like terms: 3z + -3z = 0 12x + 0 = 45 + -6y + -3z 12x = 45 + -6y + -3z Divide each side by '12'. x = 3.75 + -0.5y + -0.25z Simplifying x = 3.75 + -0.5y + -0.25z
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