Simplify the following algebraic expressions: 4.1.1. \( 2 x+5 x-6 x+x \)

To simplify the expression \( 2x + 5x - 6x + x \), you can combine like terms. Start by adding all the coefficients of \( x \): \( 2 + 5 - 6 + 1 = 2 \). So, the simplified expression is \( 2x \). Another fun way to look at this is to envision each coefficient as a friend at a party: some friends arrive (positive coefficients) while others leave (negative coefficients). Ultimately, you end up with 2 friends still dancing at the party, which is your \( 2x \)!