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Simplifying 45x + 5y + 75z = 0 Solving 45x + 5y + 75z = 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. 45x + 5y + -5y + 75z = 0 + -5y Combine like terms: 5y + -5y = 0 45x + 0 + 75z = 0 + -5y 45x + 75z = 0 + -5y Remove the zero: 45x + 75z = -5y Add '-75z' to each side of the equation. 45x + 75z + -75z = -5y + -75z Combine like terms: 75z + -75z = 0 45x + 0 = -5y + -75z 45x = -5y + -75z Divide each side by '45'. x = -0.1111111111y + -1.666666667z Simplifying x = -0.1111111111y + -1.666666667z
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