To simplify the given expression, we can use the distributive property and combine like terms.
Starting with the given expression: 3x(4-2x) - 6 - 2x + 4
First, simplify the expression within the parentheses: = 3x(4) - 3x(2x) - 6 - 2x + 4 = 12x - 6x^2 - 6 - 2x + 4
Next, combine like terms: = -6x^2 + 10x - 2
Therefore, the simplified form of the expression 3x(4-2x) - 6 - 2x + 4 is -6x^2 + 10x - 2.
