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Simplifying 6x + -4y + -5z + -12 = 0 Reorder the terms: -12 + 6x + -4y + -5z = 0 Solving -12 + 6x + -4y + -5z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 6x + -4y + 12 + -5z = 0 + 12 Reorder the terms: -12 + 12 + 6x + -4y + -5z = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 6x + -4y + -5z = 0 + 12 6x + -4y + -5z = 0 + 12 Combine like terms: 0 + 12 = 12 6x + -4y + -5z = 12 Add '4y' to each side of the equation. 6x + -4y + 4y + -5z = 12 + 4y Combine like terms: -4y + 4y = 0 6x + 0 + -5z = 12 + 4y 6x + -5z = 12 + 4y Add '5z' to each side of the equation. 6x + -5z + 5z = 12 + 4y + 5z Combine like terms: -5z + 5z = 0 6x + 0 = 12 + 4y + 5z 6x = 12 + 4y + 5z Divide each side by '6'. x = 2 + 0.6666666667y + 0.8333333333z Simplifying x = 2 + 0.6666666667y + 0.8333333333z
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