Is It True Because of Symmetry?

Algebra Level 2

\[\large {\color{purple}a}{\color{red}x} + {\color{green}5}{\color{purple}b} = {\color{red}2}{\color{purple}a} + {\color{purple}b}{\color{green}q} \\\\\\ \large \text{implies} \\\\\\ \large {\color{red}x} = {\color{red}2} \text{ and } {\color{green}q}={\color{green}5}.\]

True or false?

For all real numbers \({\color{purple}a}, {\color{purple}b}, {\color{red}x}, \text{ and } {\color{green}q}\), the statement above must be true.

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