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Simplifying 6x + 5y + 5z + -3x + 3z + -6y = 0 Reorder the terms: 6x + -3x + 5y + -6y + 5z + 3z = 0 Combine like terms: 6x + -3x = 3x 3x + 5y + -6y + 5z + 3z = 0 Combine like terms: 5y + -6y = -1y 3x + -1y + 5z + 3z = 0 Combine like terms: 5z + 3z = 8z 3x + -1y + 8z = 0 Solving 3x + -1y + 8z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'y' to each side of the equation. 3x + -1y + y + 8z = 0 + y Combine like terms: -1y + y = 0 3x + 0 + 8z = 0 + y 3x + 8z = 0 + y Remove the zero: 3x + 8z = y Add '-8z' to each side of the equation. 3x + 8z + -8z = y + -8z Combine like terms: 8z + -8z = 0 3x + 0 = y + -8z 3x = y + -8z Divide each side by '3'. x = 0.3333333333y + -2.666666667z Simplifying x = 0.3333333333y + -2.666666667z
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