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Simplifying 2x + -5y + -6z = 0 Solving 2x + -5y + -6z = 0 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. 2x + -5y + 5y + -6z = 0 + 5y Combine like terms: -5y + 5y = 0 2x + 0 + -6z = 0 + 5y 2x + -6z = 0 + 5y Remove the zero: 2x + -6z = 5y Add '6z' to each side of the equation. 2x + -6z + 6z = 5y + 6z Combine like terms: -6z + 6z = 0 2x + 0 = 5y + 6z 2x = 5y + 6z Divide each side by '2'. x = 2.5y + 3z Simplifying x = 2.5y + 3z
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