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Simplifying 4x + 6y + 5z = 0 Solving 4x + 6y + 5z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6y' to each side of the equation. 4x + 6y + -6y + 5z = 0 + -6y Combine like terms: 6y + -6y = 0 4x + 0 + 5z = 0 + -6y 4x + 5z = 0 + -6y Remove the zero: 4x + 5z = -6y Add '-5z' to each side of the equation. 4x + 5z + -5z = -6y + -5z Combine like terms: 5z + -5z = 0 4x + 0 = -6y + -5z 4x = -6y + -5z Divide each side by '4'. x = -1.5y + -1.25z Simplifying x = -1.5y + -1.25z
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