Simplify the algebraic expression by combining like (or similar) terms. \( 6 x-6+0.1 x \)

To simplify the expression \( 6x - 6 + 0.1x \), first, we combine the like terms, which in this case are the \( x \) terms. So, we add \( 6x \) and \( 0.1x \) together. This gives us: \( 6x + 0.1x = 6.1x \). Now, putting it all together, we have: \( 6.1x - 6 \). Thus, the simplified expression is \( 6.1x - 6 \). Here's something fun: Did you know that algebra has been around since ancient Babylon? They were solving equations with methods quite similar to ours today, which makes it an ancient art form! Also, when dealing with similar terms, it's crucial to pay attention to the coefficients. A common mistake is to forget that 6 and 0.1 are like terms because they both have an 'x' attached to them. So always double-check those terms before you combine!