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Simplifying -5(x + -3y + -9z) = 0 (x * -5 + -3y * -5 + -9z * -5) = 0 (-5x + 15y + 45z) = 0 Solving -5x + 15y + 45z = 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. -5x + 15y + -15y + 45z = 0 + -15y Combine like terms: 15y + -15y = 0 -5x + 0 + 45z = 0 + -15y -5x + 45z = 0 + -15y Remove the zero: -5x + 45z = -15y Add '-45z' to each side of the equation. -5x + 45z + -45z = -15y + -45z Combine like terms: 45z + -45z = 0 -5x + 0 = -15y + -45z -5x = -15y + -45z Divide each side by '-5'. x = 3y + 9z Simplifying x = 3y + 9z
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