d. \( 3(2 x-7)=5 x+17+x \)

To solve the equation \( 3(2x - 7) = 5x + 17 + x \), let's break it down step by step. Start by distributing the 3 on the left side: \[ 6x - 21 = 6x + 17. \] Next, you want to get all the \( x \) terms on one side and the constants on the other. Subtract \( 6x \) from both sides: \[ -21 = 17. \] Oops! Looks like we hit a snag! This tells us that the equation has no solutions, as \( -21 \) does not equal \( 17 \). This signifies that the original equation is inconsistent. Now onto that fun part: equations can sometimes play hard to get! It’s like a puzzle - sometimes you build your way up, only to find out there’s a piece missing. So, always check your work! If you ever end up with contradictions like this, it’s a sign to investigate further or reassess your approach. Happy solving!