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Simplifying 5x + -4y + -10z = -100 Solving 5x + -4y + -10z = -100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4y' to each side of the equation. 5x + -4y + 4y + -10z = -100 + 4y Combine like terms: -4y + 4y = 0 5x + 0 + -10z = -100 + 4y 5x + -10z = -100 + 4y Add '10z' to each side of the equation. 5x + -10z + 10z = -100 + 4y + 10z Combine like terms: -10z + 10z = 0 5x + 0 = -100 + 4y + 10z 5x = -100 + 4y + 10z Divide each side by '5'. x = -20 + 0.8y + 2z Simplifying x = -20 + 0.8y + 2z
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