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Simplifying 12x + 20y + 13z = 0 Solving 12x + 20y + 13z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20y' to each side of the equation. 12x + 20y + -20y + 13z = 0 + -20y Combine like terms: 20y + -20y = 0 12x + 0 + 13z = 0 + -20y 12x + 13z = 0 + -20y Remove the zero: 12x + 13z = -20y Add '-13z' to each side of the equation. 12x + 13z + -13z = -20y + -13z Combine like terms: 13z + -13z = 0 12x + 0 = -20y + -13z 12x = -20y + -13z Divide each side by '12'. x = -1.666666667y + -1.083333333z Simplifying x = -1.666666667y + -1.083333333z
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