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To solve the equation \( 1x + 4 = 2 \), we first isolate \( x \).
1. Subtract 4 from both sides of the equation:
\[
1x + 4 - 4 = 2 - 4
\]
This simplifies to:
\[
1x = -2
\]
2. Since \( 1x \) is just \( x \), we have:
\[
x = -2
\]
The solution is:
\[
\boxed{-2}
\]