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Simplifying 4x + 5y + 6z = 0 Solving 4x + 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. 4x + 5y + -5y + 6z = 0 + -5y Combine like terms: 5y + -5y = 0 4x + 0 + 6z = 0 + -5y 4x + 6z = 0 + -5y Remove the zero: 4x + 6z = -5y Add '-6z' to each side of the equation. 4x + 6z + -6z = -5y + -6z Combine like terms: 6z + -6z = 0 4x + 0 = -5y + -6z 4x = -5y + -6z Divide each side by '4'. x = -1.25y + -1.5z Simplifying x = -1.25y + -1.5z
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