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Simplifying 5x + -10y + -5z = 45 Solving 5x + -10y + -5z = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10y' to each side of the equation. 5x + -10y + 10y + -5z = 45 + 10y Combine like terms: -10y + 10y = 0 5x + 0 + -5z = 45 + 10y 5x + -5z = 45 + 10y Add '5z' to each side of the equation. 5x + -5z + 5z = 45 + 10y + 5z Combine like terms: -5z + 5z = 0 5x + 0 = 45 + 10y + 5z 5x = 45 + 10y + 5z Divide each side by '5'. x = 9 + 2y + z Simplifying x = 9 + 2y + z
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