To solve the equation \( 2 + 3x = 4x + 9 \), follow these steps:
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First, we want to get all terms involving \( x \) on one side and constant terms on the other side. Subtract \( 3x \) from both sides:
\[ 2 = 4x - 3x + 9 \]
This simplifies to:
\[ 2 = x + 9 \]
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Next, subtract 9 from both sides to solve for \( x \):
\[ 2 - 9 = x \]
This gives us:
\[ -7 = x \]
So the solution to the equation is:
\[ x = -7 \]