Simplify the algebraic expression by combining like (or similar) terms. \[ 6 x+6 x^{2}+1-5 x^{2} \]

Let's simplify the expression \( 6x + 6x^2 + 1 - 5x^2 \). First, we can combine the like terms involving \( x^2 \): - We have \( 6x^2 \) and \( -5x^2 \), which combine to give us \( 6x^2 - 5x^2 = 1x^2 \) or just \( x^2 \). Now we can rewrite the expression with the combined like terms: \[ 6x + x^2 + 1 \] So, the simplified expression is: \[ x^2 + 6x + 1 \]