To solve the equation \( ax + by = c \) for \( x \), you can follow these steps:
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First, isolate the term with \( x \) on one side of the equation. You can do this by subtracting \( by \) from both sides:
\[ ax = c - by \]
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Next, divide both sides by \( a \) (assuming \( a \neq 0 \)) to solve for \( x \):
\[ x = \frac{c - by}{a} \]
So, the solution for \( x \) in terms of \( a \), \( b \), \( c \), and \( y \) is:
\[ x = \frac{c - by}{a} \]