To solve the equation \( \frac{5}{3}x + \frac{11}{3} = -\frac{4}{3} \):
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Start by isolating the term with \( x \): \[ \frac{5}{3}x = -\frac{4}{3} - \frac{11}{3} \] \[ \frac{5}{3}x = -\frac{4 + 11}{3} = -\frac{15}{3} = -5 \]
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Now we have: \[ \frac{5}{3}x = -5 \]
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Next, multiply both sides by \( \frac{3}{5} \): \[ x = -5 \cdot \frac{3}{5} \] \[ x = -3 \]
So the completed solution is:
- \( \frac{5}{3}x = -5 \)
- \( x = -3 \)