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116.9=2.8313x+35.17
Combine 0.2313x and 2.6x to get 2.8313x.
2.8313x+35.17=116.9
Swap sides so that all variable terms are on the left hand side.
2.8313x=116.9-35.17
Subtract 35.17 from both sides.
2.8313x=81.73
Subtract 35.17 from 116.9 to get 81.73.
x=\frac{81.73}{2.8313}
Divide both sides by 2.8313.
x=\frac{817300}{28313}
Expand \frac{81.73}{2.8313} by multiplying both numerator and the denominator by 10000.