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Simplifying 10x + 5y + 4z + -5x + 2z + -6y = 0 Reorder the terms: 10x + -5x + 5y + -6y + 4z + 2z = 0 Combine like terms: 10x + -5x = 5x 5x + 5y + -6y + 4z + 2z = 0 Combine like terms: 5y + -6y = -1y 5x + -1y + 4z + 2z = 0 Combine like terms: 4z + 2z = 6z 5x + -1y + 6z = 0 Solving 5x + -1y + 6z = 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. 5x + -1y + y + 6z = 0 + y Combine like terms: -1y + y = 0 5x + 0 + 6z = 0 + y 5x + 6z = 0 + y Remove the zero: 5x + 6z = y Add '-6z' to each side of the equation. 5x + 6z + -6z = y + -6z Combine like terms: 6z + -6z = 0 5x + 0 = y + -6z 5x = y + -6z Divide each side by '5'. x = 0.2y + -1.2z Simplifying x = 0.2y + -1.2z
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