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Simplifying 6x + -5y + -3z = 6 Solving 6x + -5y + -3z = 6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5y' to each side of the equation. 6x + -5y + 5y + -3z = 6 + 5y Combine like terms: -5y + 5y = 0 6x + 0 + -3z = 6 + 5y 6x + -3z = 6 + 5y Add '3z' to each side of the equation. 6x + -3z + 3z = 6 + 5y + 3z Combine like terms: -3z + 3z = 0 6x + 0 = 6 + 5y + 3z 6x = 6 + 5y + 3z Divide each side by '6'. x = 1 + 0.8333333333y + 0.5z Simplifying x = 1 + 0.8333333333y + 0.5z
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