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Simplifying 5x + 5y + 5z + -2x + 3z + -9y = 0 Reorder the terms: 5x + -2x + 5y + -9y + 5z + 3z = 0 Combine like terms: 5x + -2x = 3x 3x + 5y + -9y + 5z + 3z = 0 Combine like terms: 5y + -9y = -4y 3x + -4y + 5z + 3z = 0 Combine like terms: 5z + 3z = 8z 3x + -4y + 8z = 0 Solving 3x + -4y + 8z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4y' to each side of the equation. 3x + -4y + 4y + 8z = 0 + 4y Combine like terms: -4y + 4y = 0 3x + 0 + 8z = 0 + 4y 3x + 8z = 0 + 4y Remove the zero: 3x + 8z = 4y Add '-8z' to each side of the equation. 3x + 8z + -8z = 4y + -8z Combine like terms: 8z + -8z = 0 3x + 0 = 4y + -8z 3x = 4y + -8z Divide each side by '3'. x = 1.333333333y + -2.666666667z Simplifying x = 1.333333333y + -2.666666667z
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