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Simplifying 6x + 5y + 3z = 30 Solving 6x + 5y + 3z = 30 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 = 30 + -5y Combine like terms: 5y + -5y = 0 6x + 0 + 3z = 30 + -5y 6x + 3z = 30 + -5y Add '-3z' to each side of the equation. 6x + 3z + -3z = 30 + -5y + -3z Combine like terms: 3z + -3z = 0 6x + 0 = 30 + -5y + -3z 6x = 30 + -5y + -3z Divide each side by '6'. x = 5 + -0.8333333333y + -0.5z Simplifying x = 5 + -0.8333333333y + -0.5z
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