This question is about extending the solution provided here. How do I allow the user to change x outside the TogglerGrid function so that the TogglerBar shows the new values of x? I've set it up inside a Manipulate with a row of buttons to indicate how I want to use it. I need to retain the multi-row feature. Also here, and here.

DynamicModule[{TogglerGrid, x, x0, g0, gr},
TogglerGrid[Dynamic[var_], list_List, n_] :=
DynamicModule[{k, this, len, set, ref, temp},
var = Sort[var];
ref = Evaluate@list;
temp = {#} & /@ ref;
set =
TogglerBar[
Dynamic[temp[[#]],
Function[{$x}, temp[[#]] = $x;
var = Sort@(Join @@ temp)]], {list[[#]]}] & /@
Range@Length@list;
Grid[Partition[set, n, n, {1, 1}, {}],
Alignment -> {Center, Center}, Spacings -> {0, 0}]
];
x = x0 = Range[10];
g0 = Graphics[{Black, Thick,
Line[10 {{-1, -1}, {-1, +1}, {+1, +1}, {+1, -1}, {-1, -1}}]}];
gr = {
Graphics[Circle[]], Graphics[Disk[{1, 0}], 1],
Graphics[{Red, Circle[{5, 6}, 1]}],
Graphics[{Blue, Circle[{-5, -3}, 5]}],
Graphics[Disk[{1, 4}], 3], Graphics[{Green, Circle[{5, -6}, 4]}],
Graphics[{Yellow, Circle[{-5, -3}, 4]}],
Graphics[Disk[{8, -4}], 2], Graphics[{Orange, Circle[{-7, 6}, 5]}],
Graphics[{Blue, Disk[{-8, -3}, 4]}]
};
Manipulate[
Column[{
Row[{"x = ", Dynamic[x]}],
Show[{gr[[x]], g0}, PlotRange -> 10.1 {{-1, +1}, {-1, +1}}]
}],
Column[{
Row[{Button["None", x = {}], " ", Button["All", x = x0], " ",
Button["These", x = {1, 7}]}],
TogglerGrid[Dynamic[x], x0, 5]
}]
]
]
