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Simplifying 10x + 4y + 7z + -5x + 3z + -5y = 0 Reorder the terms: 10x + -5x + 4y + -5y + 7z + 3z = 0 Combine like terms: 10x + -5x = 5x 5x + 4y + -5y + 7z + 3z = 0 Combine like terms: 4y + -5y = -1y 5x + -1y + 7z + 3z = 0 Combine like terms: 7z + 3z = 10z 5x + -1y + 10z = 0 Solving 5x + -1y + 10z = 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 + 10z = 0 + y Combine like terms: -1y + y = 0 5x + 0 + 10z = 0 + y 5x + 10z = 0 + y Remove the zero: 5x + 10z = y Add '-10z' to each side of the equation. 5x + 10z + -10z = y + -10z Combine like terms: 10z + -10z = 0 5x + 0 = y + -10z 5x = y + -10z Divide each side by '5'. x = 0.2y + -2z Simplifying x = 0.2y + -2z
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