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Simplifying 6x + y + 5z = 41 Solving 6x + y + 5z = 41 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 6x + y + -1y + 5z = 41 + -1y Combine like terms: y + -1y = 0 6x + 0 + 5z = 41 + -1y 6x + 5z = 41 + -1y Add '-5z' to each side of the equation. 6x + 5z + -5z = 41 + -1y + -5z Combine like terms: 5z + -5z = 0 6x + 0 = 41 + -1y + -5z 6x = 41 + -1y + -5z Divide each side by '6'. x = 6.833333333 + -0.1666666667y + -0.8333333333z Simplifying x = 6.833333333 + -0.1666666667y + -0.8333333333z
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