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Simplifying -3x + 2y + 3z = 0 Solving -3x + 2y + 3z = 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 + 3z = 0 + -2y Combine like terms: 2y + -2y = 0 -3x + 0 + 3z = 0 + -2y -3x + 3z = 0 + -2y Remove the zero: -3x + 3z = -2y Add '-3z' to each side of the equation. -3x + 3z + -3z = -2y + -3z Combine like terms: 3z + -3z = 0 -3x + 0 = -2y + -3z -3x = -2y + -3z Divide each side by '-3'. x = 0.6666666667y + z Simplifying x = 0.6666666667y + z
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