Answer:
[tex]x=6[/tex]
Step-by-step explanation:
Convert mixed numbers to improper fractions: [tex]5\frac{1}{2} =\frac{11}{2}[/tex]
[Formula to convert mixed to improper: [tex]a\frac{b}{c} =\frac{a * c+b}{c}[/tex]]
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[tex]\frac{11}{2} x+\frac{2}{3} x=37\\\\[/tex]
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Find least common multiplier of 2, 3: 6
[Multiply by LCM = 6]
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Simplify: [tex]37x=222[/tex]
Divide both sides by 37
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Which is then simplified to 6
