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Simplifying 5x + -3y + -2z = 0 Solving 5x + -3y + -2z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. 5x + -3y + 3y + -2z = 0 + 3y Combine like terms: -3y + 3y = 0 5x + 0 + -2z = 0 + 3y 5x + -2z = 0 + 3y Remove the zero: 5x + -2z = 3y Add '2z' to each side of the equation. 5x + -2z + 2z = 3y + 2z Combine like terms: -2z + 2z = 0 5x + 0 = 3y + 2z 5x = 3y + 2z Divide each side by '5'. x = 0.6y + 0.4z Simplifying x = 0.6y + 0.4z
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