Screens 1-4

Screen 1

Slide off the ledges to the right.

If you need the weapon refill (presumably for Pharaoh), switch to the weapon and hold right against the wall at the screen transition.

Screen 2

If you need the weapon refill for Pharaoh, hold right during the fall to collect it.

Otherwise, just fall through and slide to the right.

Screen 3

Jump and tap right to back-boost through the cannon. Continue sliding to the left to fall down.

If you want the E-Tank, just hold right during the fall. This requires an extra weapon swap to Drill to break the wall, but otherwise does not impact the route.

Screen 4

Slide to the right. If you get hit by the stomper, take care to dodge the spiked balls when you slide under the platform.

Remember you can't jump out of a slide in front of a ladder, so you may want to take a step before jumping.

Switch to your desired weapon for the next screen - Balloon is optimal, Coil is backup.