To solve the equation \( 5x + 2 = 7 + 5x \), let's first simplify both sides:
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Start by subtracting \( 5x \) from both sides:
\[ 5x + 2 - 5x = 7 + 5x - 5x \]
This simplifies to:
\[ 2 = 7 \]
Since the statement \( 2 = 7 \) is false, there are no values for \( x \) that satisfy the equation. Therefore, the original equation has no solution.