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Simplifying 10x + -4y + -5z = 0 Solving 10x + -4y + -5z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4y' to each side of the equation. 10x + -4y + 4y + -5z = 0 + 4y Combine like terms: -4y + 4y = 0 10x + 0 + -5z = 0 + 4y 10x + -5z = 0 + 4y Remove the zero: 10x + -5z = 4y Add '5z' to each side of the equation. 10x + -5z + 5z = 4y + 5z Combine like terms: -5z + 5z = 0 10x + 0 = 4y + 5z 10x = 4y + 5z Divide each side by '10'. x = 0.4y + 0.5z Simplifying x = 0.4y + 0.5z
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