x - the number
the product of the number and -7 → x × (-7) = -7x
reduced by 3 → -7x-3
the opposite of the number → -x
twice the opposite of the number → 2 × (-x)= = -2x
the product of the number and -7 reduced by 3 is 33 less than twice the opposite of the number → -7x-3=-2x-33
[tex]-7x-3=-2x-33 \\
-7x+2x=-33+3 \\
-5x=-30 \\
x=\frac{-30}{-5} \\
x=6[/tex]
The number is 6.
