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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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