diff --git a/esphome/components/mqtt/mqtt_fan.cpp b/esphome/components/mqtt/mqtt_fan.cpp
index 6433ead6b2..32892199fe 100644
--- a/esphome/components/mqtt/mqtt_fan.cpp
+++ b/esphome/components/mqtt/mqtt_fan.cpp
@@ -114,6 +114,7 @@ void MQTTFanComponent::send_discovery(JsonObject root, mqtt::SendDiscoveryConfig
   if (this->state_->get_traits().supports_speed()) {
     root[MQTT_PERCENTAGE_COMMAND_TOPIC] = this->get_speed_level_command_topic();
     root[MQTT_PERCENTAGE_STATE_TOPIC] = this->get_speed_level_state_topic();
+    root[MQTT_SPEED_RANGE_MAX] = this->state_->get_traits().supported_speed_count();
   }
 }
 bool MQTTFanComponent::publish_state() {
diff --git a/esphome/components/nextion/nextion_commands.cpp b/esphome/components/nextion/nextion_commands.cpp
index f83aafc595..308e02bce8 100644
--- a/esphome/components/nextion/nextion_commands.cpp
+++ b/esphome/components/nextion/nextion_commands.cpp
@@ -115,7 +115,7 @@ void Nextion::set_backlight_brightness(float brightness) {
     ESP_LOGD(TAG, "Brightness out of bounds, percentage range 0-1.0");
     return;
   }
-  this->add_no_result_to_queue_with_set("backlight_brightness", "dim", static_cast<int>(brightness * 100));
+  this->add_no_result_to_queue_with_printf_("backlight_brightness", "dim=%d", static_cast<int>(brightness * 100));
 }
 
 void Nextion::set_auto_wake_on_touch(bool auto_wake) {
diff --git a/esphome/const.py b/esphome/const.py
index 035c46f860..80842f83be 100644
--- a/esphome/const.py
+++ b/esphome/const.py
@@ -1,6 +1,6 @@
 """Constants used by esphome."""
 
-__version__ = "2022.6.0b1"
+__version__ = "2022.6.0b2"
 
 ALLOWED_NAME_CHARS = "abcdefghijklmnopqrstuvwxyz0123456789-_"