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To solve for x, we first combine like terms on the left side of the equation:
5x + 8 + x = 32
6x + 8 = 32
Next, we isolate the variable x by subtracting 8 from both sides of the equation:
6x + 8 - 8 = 32 - 8
6x = 24
To find the value of x, we divide by 6:
x = 24/6
x = 4
To check our answer, we substitute x = 4 back into the original equation:
5(4) + 8 + 4 = 32
20 + 8 + 4 = 32
32 = 32
Since both sides of the equation are equal, our solution x = 4 is correct.