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Simplifying 2x + 6y + 7z = 12 Solving 2x + 6y + 7z = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6y' to each side of the equation. 2x + 6y + -6y + 7z = 12 + -6y Combine like terms: 6y + -6y = 0 2x + 0 + 7z = 12 + -6y 2x + 7z = 12 + -6y Add '-7z' to each side of the equation. 2x + 7z + -7z = 12 + -6y + -7z Combine like terms: 7z + -7z = 0 2x + 0 = 12 + -6y + -7z 2x = 12 + -6y + -7z Divide each side by '2'. x = 6 + -3y + -3.5z Simplifying x = 6 + -3y + -3.5z
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