Do you really need broadcast? If not:
julia> using Symbolics
julia> @variables x
1-element Vector{Num}:
x
julia> expr = x
x
julia> answer = substitute(expr, Dict(x => 7))
7
Do you really need broadcast? If not:
julia> using Symbolics
julia> @variables x
1-element Vector{Num}:
x
julia> expr = x
x
julia> answer = substitute(expr, Dict(x => 7))
7