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Simplifying 3x + y + -5z = 0 Solving 3x + y + -5z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1y' to each side of the equation. 3x + y + -1y + -5z = 0 + -1y Combine like terms: y + -1y = 0 3x + 0 + -5z = 0 + -1y 3x + -5z = 0 + -1y Remove the zero: 3x + -5z = -1y Add '5z' to each side of the equation. 3x + -5z + 5z = -1y + 5z Combine like terms: -5z + 5z = 0 3x + 0 = -1y + 5z 3x = -1y + 5z Divide each side by '3'. x = -0.3333333333y + 1.666666667z Simplifying x = -0.3333333333y + 1.666666667z
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