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Simplifying 2x + -5y + z = 10 Solving 2x + -5y + z = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5y' to each side of the equation. 2x + -5y + 5y + z = 10 + 5y Combine like terms: -5y + 5y = 0 2x + 0 + z = 10 + 5y 2x + z = 10 + 5y Add '-1z' to each side of the equation. 2x + z + -1z = 10 + 5y + -1z Combine like terms: z + -1z = 0 2x + 0 = 10 + 5y + -1z 2x = 10 + 5y + -1z Divide each side by '2'. x = 5 + 2.5y + -0.5z Simplifying x = 5 + 2.5y + -0.5z
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