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Simplifying 3x + 2y + -5z = 0 Solving 3x + 2y + -5z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. 3x + 2y + -2y + -5z = 0 + -2y Combine like terms: 2y + -2y = 0 3x + 0 + -5z = 0 + -2y 3x + -5z = 0 + -2y Remove the zero: 3x + -5z = -2y Add '5z' to each side of the equation. 3x + -5z + 5z = -2y + 5z Combine like terms: -5z + 5z = 0 3x + 0 = -2y + 5z 3x = -2y + 5z Divide each side by '3'. x = -0.6666666667y + 1.666666667z Simplifying x = -0.6666666667y + 1.666666667z
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