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Simplifying 8x + 3y + 6z + -5x + 2z + -5y = 0 Reorder the terms: 8x + -5x + 3y + -5y + 6z + 2z = 0 Combine like terms: 8x + -5x = 3x 3x + 3y + -5y + 6z + 2z = 0 Combine like terms: 3y + -5y = -2y 3x + -2y + 6z + 2z = 0 Combine like terms: 6z + 2z = 8z 3x + -2y + 8z = 0 Solving 3x + -2y + 8z = 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 + 8z = 0 + 2y Combine like terms: -2y + 2y = 0 3x + 0 + 8z = 0 + 2y 3x + 8z = 0 + 2y Remove the zero: 3x + 8z = 2y Add '-8z' to each side of the equation. 3x + 8z + -8z = 2y + -8z Combine like terms: 8z + -8z = 0 3x + 0 = 2y + -8z 3x = 2y + -8z Divide each side by '3'. x = 0.6666666667y + -2.666666667z Simplifying x = 0.6666666667y + -2.666666667z
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