It looks like you're presenting two expressions. Let's first clarify and organize them to make sure they're correct and then solve step by step.

Expression 1:

$2x \cdot 3 + 5x \cdot 2 - 3x + 6$

Expression 2:

$x - \frac{1}{2}$

Let's simplify Expression 1 first:

$2x \cdot 3 = 6x$ $5x \cdot 2 = 10x$

So, the expression becomes: $6x + 10x - 3x + 6$

Now, combine the like terms: $(6x + 10x - 3x) + 6 = 13x + 6$

Now, let's check Expression 2: $x - \frac{1}{2}$

These are two distinct expressions.

Would you like me to do something specific with these two expressions, such as setting them equal or combining them?

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Relative Questions:

1. Do you want to solve these expressions as an equation?
2. Should we plot these functions on a graph?
3. Would you like to factor any of the expressions?
4. Should we solve for $x$ in terms of both expressions?
5. Would you like to check for any specific values of $x$?

Tip: When simplifying expressions, always combine like terms first to make the process smoother!