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Simplifying 2x + -5y + -2z = 12 Solving 2x + -5y + -2z = 12 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 + -2z = 12 + 5y Combine like terms: -5y + 5y = 0 2x + 0 + -2z = 12 + 5y 2x + -2z = 12 + 5y Add '2z' to each side of the equation. 2x + -2z + 2z = 12 + 5y + 2z Combine like terms: -2z + 2z = 0 2x + 0 = 12 + 5y + 2z 2x = 12 + 5y + 2z Divide each side by '2'. x = 6 + 2.5y + z Simplifying x = 6 + 2.5y + z
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