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Simplifying 10x + 4y + 6z + -5x + 4z + -7y = 0 Reorder the terms: 10x + -5x + 4y + -7y + 6z + 4z = 0 Combine like terms: 10x + -5x = 5x 5x + 4y + -7y + 6z + 4z = 0 Combine like terms: 4y + -7y = -3y 5x + -3y + 6z + 4z = 0 Combine like terms: 6z + 4z = 10z 5x + -3y + 10z = 0 Solving 5x + -3y + 10z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3y' to each side of the equation. 5x + -3y + 3y + 10z = 0 + 3y Combine like terms: -3y + 3y = 0 5x + 0 + 10z = 0 + 3y 5x + 10z = 0 + 3y Remove the zero: 5x + 10z = 3y Add '-10z' to each side of the equation. 5x + 10z + -10z = 3y + -10z Combine like terms: 10z + -10z = 0 5x + 0 = 3y + -10z 5x = 3y + -10z Divide each side by '5'. x = 0.6y + -2z Simplifying x = 0.6y + -2z
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