
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
The complete graph of $y=f(x)$, which consists of five line segments, is shown in red below. (On this graph, the distance between grid lines is $1$.)

What is the sum of the $x$-coordinates of all points where $f(x) = 2.2$?

[asy]
size(150);
real ticklen=3;
real tickspace=2;
real ticklength=0.1cm;
real axisarrowsize=0.14cm;
pen axispen=black+1.3bp;
real vectorarrowsize=0.2cm;
real tickdown=-0.5;
real tickdownlength=-0.15inch;
real tickdownbase=0.3;
real wholetickdown=tickdown;
void rr_cartesian_axes(real xleft, real xright, real ybottom, real ytop, real xstep=1, real ystep=1, bool useticks=false, bool complexplane=false, bool usegrid=true) {
  import graph;
  real i;
  if(complexplane) {
    label("$\textnormal{Re}$",(xright,0),SE);
    label("$\textnormal{Im}$",(0,ytop),NW);
  } else {
    label("$x$",(xright+0.4,-0.5));
    label("$y$",(-0.5,ytop+0.2));
  }
  ylimits(ybottom,ytop);
  xlimits(xleft, xright);
  real[] TicksArrx,TicksArry;
  for(i=xleft+xstep; i<xright; i+=xstep) {
    if(abs(i) >0.1) {
      TicksArrx.push(i);
    }
  }
  for(i=ybottom+ystep; i<ytop; i+=ystep) {
    if(abs(i) >0.1) {
      TicksArry.push(i);
    }
  }
  if(usegrid) {
    xaxis(BottomTop(extend=false), Ticks("%", TicksArrx ,pTick=gray(0.22),extend=true),p=invisible);
    yaxis(LeftRight(extend=false),Ticks("%", TicksArry ,pTick=gray(0.22),extend=true), p=invisible);
  }
  if(useticks) {
    xequals(0, ymin=ybottom, ymax=ytop, p=axispen, Ticks("%",TicksArry , pTick=black+0.8bp,Size=ticklength), above=true, Arrows(size=axisarrowsize));
    yequals(0, xmin=xleft, xmax=xright, p=axispen, Ticks("%",TicksArrx , pTick=black+0.8bp,Size=ticklength), above=true, Arrows(size=axisarrowsize));
  } else {
    xequals(0, ymin=ybottom, ymax=ytop, p=axispen, above=true, Arrows(size=axisarrowsize));
    yequals(0, xmin=xleft, xmax=xright, p=axispen, above=true, Arrows(size=axisarrowsize));
  }
};
rr_cartesian_axes(-5,5,-5,5);
draw((-4,-5)--(-2,-1)--(-1,-2)--(1,2)--(2,1)--(4,5),red);
draw((-5,2.2)--(5,2.2),green+1);
[/asy]

Present the answer in LaTex format: \boxed{Your answer}
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