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Simplifying 6x + -13y + 7z = 34 Solving 6x + -13y + 7z = 34 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13y' to each side of the equation. 6x + -13y + 13y + 7z = 34 + 13y Combine like terms: -13y + 13y = 0 6x + 0 + 7z = 34 + 13y 6x + 7z = 34 + 13y Add '-7z' to each side of the equation. 6x + 7z + -7z = 34 + 13y + -7z Combine like terms: 7z + -7z = 0 6x + 0 = 34 + 13y + -7z 6x = 34 + 13y + -7z Divide each side by '6'. x = 5.666666667 + 2.166666667y + -1.166666667z Simplifying x = 5.666666667 + 2.166666667y + -1.166666667z
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