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Simplifying 7x + 5y + 7z + -2x + 5z + -8y = 0 Reorder the terms: 7x + -2x + 5y + -8y + 7z + 5z = 0 Combine like terms: 7x + -2x = 5x 5x + 5y + -8y + 7z + 5z = 0 Combine like terms: 5y + -8y = -3y 5x + -3y + 7z + 5z = 0 Combine like terms: 7z + 5z = 12z 5x + -3y + 12z = 0 Solving 5x + -3y + 12z = 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 + 12z = 0 + 3y Combine like terms: -3y + 3y = 0 5x + 0 + 12z = 0 + 3y 5x + 12z = 0 + 3y Remove the zero: 5x + 12z = 3y Add '-12z' to each side of the equation. 5x + 12z + -12z = 3y + -12z Combine like terms: 12z + -12z = 0 5x + 0 = 3y + -12z 5x = 3y + -12z Divide each side by '5'. x = 0.6y + -2.4z Simplifying x = 0.6y + -2.4z
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