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Simplifying 2.5x + 6.7y + -8.1z = 0 Solving 2.5x + 6.7y + -8.1z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.7y' to each side of the equation. 2.5x + 6.7y + -6.7y + -8.1z = 0 + -6.7y Combine like terms: 6.7y + -6.7y = 0.0 2.5x + 0.0 + -8.1z = 0 + -6.7y 2.5x + -8.1z = 0 + -6.7y Remove the zero: 2.5x + -8.1z = -6.7y Add '8.1z' to each side of the equation. 2.5x + -8.1z + 8.1z = -6.7y + 8.1z Combine like terms: -8.1z + 8.1z = 0.0 2.5x + 0.0 = -6.7y + 8.1z 2.5x = -6.7y + 8.1z Divide each side by '2.5'. x = -2.68y + 3.24z Simplifying x = -2.68y + 3.24z
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