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Simplifying 10x + -15y + 25z = 0 Solving 10x + -15y + 25z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15y' to each side of the equation. 10x + -15y + 15y + 25z = 0 + 15y Combine like terms: -15y + 15y = 0 10x + 0 + 25z = 0 + 15y 10x + 25z = 0 + 15y Remove the zero: 10x + 25z = 15y Add '-25z' to each side of the equation. 10x + 25z + -25z = 15y + -25z Combine like terms: 25z + -25z = 0 10x + 0 = 15y + -25z 10x = 15y + -25z Divide each side by '10'. x = 1.5y + -2.5z Simplifying x = 1.5y + -2.5z
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