What is the value of $x$ in the equation $\frac{3}{5} x=- 45$ ?
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Answer

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Step 1
I'll solve this step by step using the specified LaTeX formatting guidelines:

Step 2
: Isolate the variable $x$ by multiplying both sides of the equation by the reciprocal of \frac{3}{5}

\frac{5}{3} \cdot \frac{3}{5} x = \frac{5}{3} \cdot (-45)

Final Answer

Verification: Let's check our solution by plugging it back into the original equation: \frac{3}{5} \cdot (- 75) = - 45 \quad \checkmark