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Simplifying 10x + -5y + -15z = 0 Solving 10x + -5y + -15z = 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. 10x + -5y + 5y + -15z = 0 + 5y Combine like terms: -5y + 5y = 0 10x + 0 + -15z = 0 + 5y 10x + -15z = 0 + 5y Remove the zero: 10x + -15z = 5y Add '15z' to each side of the equation. 10x + -15z + 15z = 5y + 15z Combine like terms: -15z + 15z = 0 10x + 0 = 5y + 15z 10x = 5y + 15z Divide each side by '10'. x = 0.5y + 1.5z Simplifying x = 0.5y + 1.5z
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