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To manipulate the equation \( y = 7x - 12 \) in order to express \( x \) in terms of \( y \), follow these steps:
1. Start with the original equation:
\[
y = 7x - 12
\]
2. Add 12 to both sides to isolate the term with \( x \):
\[
y + 12 = 7x
\]
3. Next, divide both sides by 7 to solve for \( x \):
\[
x = \frac{y + 12}{7}
\]
Thus, the equation equivalent to \( y = 7x - 12 \) written in terms of \( x \) is:
\[
x = \frac{y + 12}{7}
\]