ListView horizontal dentro de un ScrollView vertical en Flutter

Solución:

Bueno, su código funciona bien al envolver su- ListView.builder con Expanded Widget y configuración mainAxisSize: MainAxisSize.min, de Column Widget.

Ex Código de lo que tienes.

 body: Column(
        mainAxisSize: MainAxisSize.min,
        children: <Widget>[
          Text(
            'Headline',
            style: TextStyle(fontSize: 18),
          ),
          Expanded(
            child: ListView.builder(
              shrinkWrap: true,
              scrollDirection: Axis.horizontal,
              itemCount: 15,
              itemBuilder: (BuildContext context, int index) => Card(
                    child: Center(child: Text('Dummy Card Text')),
                  ),
            ),
          ),
          Text(
            'Demo Headline 2',
            style: TextStyle(fontSize: 18),
          ),
          Expanded(
            child: ListView.builder(
              shrinkWrap: true,
              itemBuilder: (ctx,int){
                return Card(
                  child: ListTile(
                      title: Text('Motivation $int'),
                      subtitle: Text('this is a description of the motivation')),
                );
              },
            ),
          ),
        ],
      ),

Actualizar:

Toda la página se puede desplazar con: SingleChildScrollView.

body: SingleChildScrollView(
  child: Column(
    mainAxisSize: MainAxisSize.min,
    children: <Widget>[
      Text(
        'Headline',
        style: TextStyle(fontSize: 18),
      ),
      SizedBox(
        height: 200.0,
        child: ListView.builder(
          physics: ClampingScrollPhysics(),
          shrinkWrap: true,
          scrollDirection: Axis.horizontal,
          itemCount: 15,
          itemBuilder: (BuildContext context, int index) => Card(
                child: Center(child: Text('Dummy Card Text')),
              ),
        ),
      ),
      Text(
        'Demo Headline 2',
        style: TextStyle(fontSize: 18),
      ),
      Card(
        child: ListTile(title: Text('Motivation $int'), subtitle: Text('this is a description of the motivation')),
      ),
      Card(
        child: ListTile(title: Text('Motivation $int'), subtitle: Text('this is a description of the motivation')),
      ),
      Card(
        child: ListTile(title: Text('Motivation $int'), subtitle: Text('this is a description of the motivation')),
      ),
      Card(
        child: ListTile(title: Text('Motivation $int'), subtitle: Text('this is a description of the motivation')),
      ),
      Card(
        child: ListTile(title: Text('Motivation $int'), subtitle: Text('this is a description of the motivation')),
      ),
    ],
  ),
),

Captura de pantalla:

---

class _HomePageState extends State<HomePage> {
  @override
  Widget build(BuildContext context) {
    return Scaffold(
      body: ListView.builder(
        itemCount: 7,
        itemBuilder: (_, i) {
          if (i < 2)
            return _buildBox(color: Colors.blue);
          else if (i == 3)
            return _horizontalListView();
          else
            return _buildBox(color: Colors.blue);
        },
      ),
    );
  }

  Widget _horizontalListView() {
    return SizedBox(
      height: 120,
      child: ListView.builder(
        scrollDirection: Axis.horizontal,
        itemBuilder: (_, __) => _buildBox(color: Colors.orange),
      ),
    );
  }

  Widget _buildBox({Color color}) => Container(margin: EdgeInsets.all(12), height: 100, width: 200, color: color);
}

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