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Simplifying 3x + 5y + -6z = 17 Solving 3x + 5y + -6z = 17 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. 3x + 5y + -5y + -6z = 17 + -5y Combine like terms: 5y + -5y = 0 3x + 0 + -6z = 17 + -5y 3x + -6z = 17 + -5y Add '6z' to each side of the equation. 3x + -6z + 6z = 17 + -5y + 6z Combine like terms: -6z + 6z = 0 3x + 0 = 17 + -5y + 6z 3x = 17 + -5y + 6z Divide each side by '3'. x = 5.666666667 + -1.666666667y + 2z Simplifying x = 5.666666667 + -1.666666667y + 2z
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