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Simplifying 4x + -6y + 2z + -5x + -3y + 8z = 0 Reorder the terms: 4x + -5x + -6y + -3y + 2z + 8z = 0 Combine like terms: 4x + -5x = -1x -1x + -6y + -3y + 2z + 8z = 0 Combine like terms: -6y + -3y = -9y -1x + -9y + 2z + 8z = 0 Combine like terms: 2z + 8z = 10z -1x + -9y + 10z = 0 Solving -1x + -9y + 10z = 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. -1x + -9y + 9y + 10z = 0 + 9y Combine like terms: -9y + 9y = 0 -1x + 0 + 10z = 0 + 9y -1x + 10z = 0 + 9y Remove the zero: -1x + 10z = 9y Add '-10z' to each side of the equation. -1x + 10z + -10z = 9y + -10z Combine like terms: 10z + -10z = 0 -1x + 0 = 9y + -10z -1x = 9y + -10z Divide each side by '-1'. x = -9y + 10z Simplifying x = -9y + 10z
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