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Simplifying x + -3y + 5z = 0 Solving x + -3y + 5z = 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. x + -3y + 3y + 5z = 0 + 3y Combine like terms: -3y + 3y = 0 x + 0 + 5z = 0 + 3y x + 5z = 0 + 3y Remove the zero: x + 5z = 3y Add '-5z' to each side of the equation. x + 5z + -5z = 3y + -5z Combine like terms: 5z + -5z = 0 x + 0 = 3y + -5z x = 3y + -5z Simplifying x = 3y + -5z
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