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Simplifying 12x + -3y + -1z = 5 Solving 12x + -3y + -1z = 5 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. 12x + -3y + 3y + -1z = 5 + 3y Combine like terms: -3y + 3y = 0 12x + 0 + -1z = 5 + 3y 12x + -1z = 5 + 3y Add 'z' to each side of the equation. 12x + -1z + z = 5 + 3y + z Combine like terms: -1z + z = 0 12x + 0 = 5 + 3y + z 12x = 5 + 3y + z Divide each side by '12'. x = 0.4166666667 + 0.25y + 0.08333333333z Simplifying x = 0.4166666667 + 0.25y + 0.08333333333z
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