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Simplifying 2x + 3(3y + -4z) = 0 2x + (3y * 3 + -4z * 3) = 0 2x + (9y + -12z) = 0 Solving 2x + 9y + -12z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9y' to each side of the equation. 2x + 9y + -9y + -12z = 0 + -9y Combine like terms: 9y + -9y = 0 2x + 0 + -12z = 0 + -9y 2x + -12z = 0 + -9y Remove the zero: 2x + -12z = -9y Add '12z' to each side of the equation. 2x + -12z + 12z = -9y + 12z Combine like terms: -12z + 12z = 0 2x + 0 = -9y + 12z 2x = -9y + 12z Divide each side by '2'. x = -4.5y + 6z Simplifying x = -4.5y + 6z
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