A shredding machine having a plastics loading section and a paper loading section. The two loading sections feed material to be shred into a single cutting section. The plastics loading section may include a ram that urges loaded materials into the cutting section for shredding. The cutting section may include a plurality of cutters mounted on a pair of adjacent cutting shafts. The cutters on one shaft are intermeshed with the cutters on the other shaft. The cutting shafts rotate in opposite directions to cut apart materials fed into the cutting head. The teeth of one cutter are offset from the those of adjacent cutters to evenly distribute the forces generating during cutting. The machine may include a material collection/filtration system having a vacuum that creates a negative pressure in the cabinet and a filtration bag for collecting the shredded material. The filtration system may also include a HEPA filter for collecting airborne particles that are not captured in the filtration bag.