[tex]\tt Step-by-step~explanation:[/tex]
To find the answer, we could plug in random numbers and see if the equation is true all the time, or only one works.
[tex]\tt First~try:~0[/tex]
We'll plug in 0 for c and see if the equation is still true.
[tex]\tt 7(0)+3=3+7(0)\\0+3=3+0\\3=3\\TRUE[/tex]
[tex]\tt Second~try:~1[/tex]
Let's plug in 1 for c this time.
[tex]\tt 7(1)+3=3+7(1)\\7+3=3+7\\10=10\\TRUE[/tex]
[tex]\tt Third~try:~2[/tex]
Finally, plug in 2. We could have only done 2 numbers, but I'll do a third one to demonstrate.
[tex]\tt 7(2)+3=3+7(2)\\14+3=3+14\\17=17\\TRUE[/tex]
[tex]\large\boxed{\tt Our~final~answer:~All~solutions}[/tex]