Answer :

We start with the equation

[tex]$$
3x + 16 = 7 + 2x.
$$[/tex]

Step 1: Subtract [tex]$2x$[/tex] from both sides.

Subtracting [tex]$2x$[/tex] from the left side and the right side gives:

[tex]$$
3x - 2x + 16 = 7 + 2x - 2x.
$$[/tex]

This simplifies to:

[tex]$$
x + 16 = 7.
$$[/tex]

Step 2: Subtract [tex]$16$[/tex] from both sides.

Subtracting [tex]$16$[/tex] from both sides to isolate [tex]$x$[/tex]:

[tex]$$
x + 16 - 16 = 7 - 16.
$$[/tex]

This simplifies to:

[tex]$$
x = -9.
$$[/tex]

Thus, the solution to the equation is

[tex]$$
x = -9.
$$[/tex]

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