Answer
Contradiction, $\emptyset$
Work Step by Step
Step 1: $4(x+7)=2(x+12)+2(x+1)$
Step 2: $4x+28=2x+24+2x+2$
Step 3: $4x+28=4x+26$
Step 4: Subtracting $4x$ from both sides, $4x-4x+28=4x-4x+26$
Step 5: Simplifying, $28=26$
Step 6: Since $28\ne26$, the equation is a contradiction. The solution set therefore is the empty set or null set which is characterized as $\emptyset$.
